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Write a program to compute gcd,lcm of two numbers.

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Write a program to compute gcd,lcm of two numbers

The least common multiple (LCM) of two integers is the smallest positive integer that is a multiple of both. The greatest common divisor (GCD) of two integers is the largest positive integer dividing both. The product of the two numbers is equal to the product of the LCM and the GCD.

following is the formula :

 a x b = LCM(a, b) * GCD (a, b)

Program 1

def gcd(x, y):

    while(y):

        x, y = y, x % y

    return x

# This function computes LCM

def lcm(x, y):

    lcm = (x*y)//gcd(x,y)

    return lcm

num1 = 60

num2 = 48 

print("The L.C.M. is", lcm(num1, num2))

print("GCD of two numbers is ",gcd(num1,num2))

Output

The L.C.M. is 240 

GCD of two numbers is 12

Program 2

#gcd solution

import math 

print ("The gcd of 60 and 48 is : ",math.gcd(60,48)) 

#lcm

import numpy as np

print("lcm of  10 and 15 is : ",np.lcm(60, 48) 

Output 

The gcd of 60 and 48 is :  12

Lcm of 60 and 48 is : 240 


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