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What is the Least Common Multiple of 60322 and 60329?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 60322 and 60329 is 3639165938.

LCM(60322,60329) = 3639165938

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Least Common Multiple of 60322 and 60329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60322 and 60329, than apply into the LCM equation.

GCF(60322,60329) = 1
LCM(60322,60329) = ( 60322 × 60329) / 1
LCM(60322,60329) = 3639165938 / 1
LCM(60322,60329) = 3639165938

Least Common Multiple (LCM) of 60322 and 60329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60322 and 60329. First we will calculate the prime factors of 60322 and 60329.

Prime Factorization of 60322

Prime factors of 60322 are 2, 30161. Prime factorization of 60322 in exponential form is:

60322 = 21 × 301611

Prime Factorization of 60329

Prime factors of 60329 are 23, 43, 61. Prime factorization of 60329 in exponential form is:

60329 = 231 × 431 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 60322 and 60329.

LCM(60322,60329) = 21 × 301611 × 231 × 431 × 611
LCM(60322,60329) = 3639165938