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What is the Least Common Multiple of 27065 and 27078?

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 27065 and 27078 is 732866070.

LCM(27065,27078) = 732866070

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Least Common Multiple of 27065 and 27078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27065 and 27078, than apply into the LCM equation.

GCF(27065,27078) = 1
LCM(27065,27078) = ( 27065 × 27078) / 1
LCM(27065,27078) = 732866070 / 1
LCM(27065,27078) = 732866070

Least Common Multiple (LCM) of 27065 and 27078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27065 and 27078. First we will calculate the prime factors of 27065 and 27078.

Prime Factorization of 27065

Prime factors of 27065 are 5, 5413. Prime factorization of 27065 in exponential form is:

27065 = 51 × 54131

Prime Factorization of 27078

Prime factors of 27078 are 2, 3, 4513. Prime factorization of 27078 in exponential form is:

27078 = 21 × 31 × 45131

Now multiplying the highest exponent prime factors to calculate the LCM of 27065 and 27078.

LCM(27065,27078) = 51 × 54131 × 21 × 31 × 45131
LCM(27065,27078) = 732866070