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What is the Least Common Multiple of 27512 and 27519?

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 27512 and 27519 is 757102728.

LCM(27512,27519) = 757102728

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Least Common Multiple of 27512 and 27519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27512 and 27519, than apply into the LCM equation.

GCF(27512,27519) = 1
LCM(27512,27519) = ( 27512 × 27519) / 1
LCM(27512,27519) = 757102728 / 1
LCM(27512,27519) = 757102728

Least Common Multiple (LCM) of 27512 and 27519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27512 and 27519. First we will calculate the prime factors of 27512 and 27519.

Prime Factorization of 27512

Prime factors of 27512 are 2, 19, 181. Prime factorization of 27512 in exponential form is:

27512 = 23 × 191 × 1811

Prime Factorization of 27519

Prime factors of 27519 are 3, 9173. Prime factorization of 27519 in exponential form is:

27519 = 31 × 91731

Now multiplying the highest exponent prime factors to calculate the LCM of 27512 and 27519.

LCM(27512,27519) = 23 × 191 × 1811 × 31 × 91731
LCM(27512,27519) = 757102728