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What is the Least Common Multiple of 6097 and 6102?

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 6097 and 6102 is 37203894.

LCM(6097,6102) = 37203894

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Least Common Multiple of 6097 and 6102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6097 and 6102, than apply into the LCM equation.

GCF(6097,6102) = 1
LCM(6097,6102) = ( 6097 × 6102) / 1
LCM(6097,6102) = 37203894 / 1
LCM(6097,6102) = 37203894

Least Common Multiple (LCM) of 6097 and 6102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6097 and 6102. First we will calculate the prime factors of 6097 and 6102.

Prime Factorization of 6097

Prime factors of 6097 are 7, 13, 67. Prime factorization of 6097 in exponential form is:

6097 = 71 × 131 × 671

Prime Factorization of 6102

Prime factors of 6102 are 2, 3, 113. Prime factorization of 6102 in exponential form is:

6102 = 21 × 33 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6097 and 6102.

LCM(6097,6102) = 71 × 131 × 671 × 21 × 33 × 1131
LCM(6097,6102) = 37203894