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What is the Least Common Multiple of 27915 and 27925?

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 27915 and 27925 is 155905275.

LCM(27915,27925) = 155905275

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Least Common Multiple of 27915 and 27925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27915 and 27925, than apply into the LCM equation.

GCF(27915,27925) = 5
LCM(27915,27925) = ( 27915 × 27925) / 5
LCM(27915,27925) = 779526375 / 5
LCM(27915,27925) = 155905275

Least Common Multiple (LCM) of 27915 and 27925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27915 and 27925. First we will calculate the prime factors of 27915 and 27925.

Prime Factorization of 27915

Prime factors of 27915 are 3, 5, 1861. Prime factorization of 27915 in exponential form is:

27915 = 31 × 51 × 18611

Prime Factorization of 27925

Prime factors of 27925 are 5, 1117. Prime factorization of 27925 in exponential form is:

27925 = 52 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 27915 and 27925.

LCM(27915,27925) = 31 × 52 × 18611 × 11171
LCM(27915,27925) = 155905275