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What is the Least Common Multiple of 25551 and 25557?

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 25551 and 25557 is 217668969.

LCM(25551,25557) = 217668969

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Least Common Multiple of 25551 and 25557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25551 and 25557, than apply into the LCM equation.

GCF(25551,25557) = 3
LCM(25551,25557) = ( 25551 × 25557) / 3
LCM(25551,25557) = 653006907 / 3
LCM(25551,25557) = 217668969

Least Common Multiple (LCM) of 25551 and 25557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25551 and 25557. First we will calculate the prime factors of 25551 and 25557.

Prime Factorization of 25551

Prime factors of 25551 are 3, 17, 167. Prime factorization of 25551 in exponential form is:

25551 = 32 × 171 × 1671

Prime Factorization of 25557

Prime factors of 25557 are 3, 7, 1217. Prime factorization of 25557 in exponential form is:

25557 = 31 × 71 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 25551 and 25557.

LCM(25551,25557) = 32 × 171 × 1671 × 71 × 12171
LCM(25551,25557) = 217668969