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What is the Least Common Multiple of 6172 and 6189?

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 6172 and 6189 is 38198508.

LCM(6172,6189) = 38198508

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Least Common Multiple of 6172 and 6189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6172 and 6189, than apply into the LCM equation.

GCF(6172,6189) = 1
LCM(6172,6189) = ( 6172 × 6189) / 1
LCM(6172,6189) = 38198508 / 1
LCM(6172,6189) = 38198508

Least Common Multiple (LCM) of 6172 and 6189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6172 and 6189. First we will calculate the prime factors of 6172 and 6189.

Prime Factorization of 6172

Prime factors of 6172 are 2, 1543. Prime factorization of 6172 in exponential form is:

6172 = 22 × 15431

Prime Factorization of 6189

Prime factors of 6189 are 3, 2063. Prime factorization of 6189 in exponential form is:

6189 = 31 × 20631

Now multiplying the highest exponent prime factors to calculate the LCM of 6172 and 6189.

LCM(6172,6189) = 22 × 15431 × 31 × 20631
LCM(6172,6189) = 38198508