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What is the Least Common Multiple of 54172 and 54189?

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 54189 is 2935526508.

LCM(54172,54189) = 2935526508

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Least Common Multiple of 54172 and 54189 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 54189, than apply into the LCM equation.

GCF(54172,54189) = 1
LCM(54172,54189) = ( 54172 × 54189) / 1
LCM(54172,54189) = 2935526508 / 1
LCM(54172,54189) = 2935526508

Least Common Multiple (LCM) of 54172 and 54189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54172 and 54189. First we will calculate the prime factors of 54172 and 54189.

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 54189

Prime factors of 54189 are 3, 223. Prime factorization of 54189 in exponential form is:

54189 = 35 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 54172 and 54189.

LCM(54172,54189) = 22 × 291 × 4671 × 35 × 2231
LCM(54172,54189) = 2935526508