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What is the Least Common Multiple of 27115 and 27128?

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 27115 and 27128 is 735575720.

LCM(27115,27128) = 735575720

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Least Common Multiple of 27115 and 27128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27115 and 27128, than apply into the LCM equation.

GCF(27115,27128) = 1
LCM(27115,27128) = ( 27115 × 27128) / 1
LCM(27115,27128) = 735575720 / 1
LCM(27115,27128) = 735575720

Least Common Multiple (LCM) of 27115 and 27128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27115 and 27128. First we will calculate the prime factors of 27115 and 27128.

Prime Factorization of 27115

Prime factors of 27115 are 5, 11, 17, 29. Prime factorization of 27115 in exponential form is:

27115 = 51 × 111 × 171 × 291

Prime Factorization of 27128

Prime factors of 27128 are 2, 3391. Prime factorization of 27128 in exponential form is:

27128 = 23 × 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 27115 and 27128.

LCM(27115,27128) = 51 × 111 × 171 × 291 × 23 × 33911
LCM(27115,27128) = 735575720