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What is the Least Common Multiple of 54172 and 54187?

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 54172 and 54187 is 2935418164.

LCM(54172,54187) = 2935418164

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Least Common Multiple of 54172 and 54187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54172 and 54187, than apply into the LCM equation.

GCF(54172,54187) = 1
LCM(54172,54187) = ( 54172 × 54187) / 1
LCM(54172,54187) = 2935418164 / 1
LCM(54172,54187) = 2935418164

Least Common Multiple (LCM) of 54172 and 54187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54172 and 54187. First we will calculate the prime factors of 54172 and 54187.

Prime Factorization of 54172

Prime factors of 54172 are 2, 29, 467. Prime factorization of 54172 in exponential form is:

54172 = 22 × 291 × 4671

Prime Factorization of 54187

Prime factors of 54187 are 7, 7741. Prime factorization of 54187 in exponential form is:

54187 = 71 × 77411

Now multiplying the highest exponent prime factors to calculate the LCM of 54172 and 54187.

LCM(54172,54187) = 22 × 291 × 4671 × 71 × 77411
LCM(54172,54187) = 2935418164