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What is the Least Common Multiple of 27307 and 27312?

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 27307 and 27312 is 745808784.

LCM(27307,27312) = 745808784

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Least Common Multiple of 27307 and 27312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27307 and 27312, than apply into the LCM equation.

GCF(27307,27312) = 1
LCM(27307,27312) = ( 27307 × 27312) / 1
LCM(27307,27312) = 745808784 / 1
LCM(27307,27312) = 745808784

Least Common Multiple (LCM) of 27307 and 27312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27307 and 27312. First we will calculate the prime factors of 27307 and 27312.

Prime Factorization of 27307

Prime factors of 27307 are 7, 47, 83. Prime factorization of 27307 in exponential form is:

27307 = 71 × 471 × 831

Prime Factorization of 27312

Prime factors of 27312 are 2, 3, 569. Prime factorization of 27312 in exponential form is:

27312 = 24 × 31 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 27307 and 27312.

LCM(27307,27312) = 71 × 471 × 831 × 24 × 31 × 5691
LCM(27307,27312) = 745808784