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What is the Least Common Multiple of 4172 and 4177?

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 4172 and 4177 is 17426444.

LCM(4172,4177) = 17426444

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Least Common Multiple of 4172 and 4177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4172 and 4177, than apply into the LCM equation.

GCF(4172,4177) = 1
LCM(4172,4177) = ( 4172 × 4177) / 1
LCM(4172,4177) = 17426444 / 1
LCM(4172,4177) = 17426444

Least Common Multiple (LCM) of 4172 and 4177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4172 and 4177. First we will calculate the prime factors of 4172 and 4177.

Prime Factorization of 4172

Prime factors of 4172 are 2, 7, 149. Prime factorization of 4172 in exponential form is:

4172 = 22 × 71 × 1491

Prime Factorization of 4177

Prime factors of 4177 are 4177. Prime factorization of 4177 in exponential form is:

4177 = 41771

Now multiplying the highest exponent prime factors to calculate the LCM of 4172 and 4177.

LCM(4172,4177) = 22 × 71 × 1491 × 41771
LCM(4172,4177) = 17426444