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What is the Least Common Multiple of 27057 and 27065?

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 27057 and 27065 is 732297705.

LCM(27057,27065) = 732297705

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Least Common Multiple of 27057 and 27065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27057 and 27065, than apply into the LCM equation.

GCF(27057,27065) = 1
LCM(27057,27065) = ( 27057 × 27065) / 1
LCM(27057,27065) = 732297705 / 1
LCM(27057,27065) = 732297705

Least Common Multiple (LCM) of 27057 and 27065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27057 and 27065. First we will calculate the prime factors of 27057 and 27065.

Prime Factorization of 27057

Prime factors of 27057 are 3, 29, 311. Prime factorization of 27057 in exponential form is:

27057 = 31 × 291 × 3111

Prime Factorization of 27065

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

27065 = 51 × 54131

Now multiplying the highest exponent prime factors to calculate the LCM of 27057 and 27065.

LCM(27057,27065) = 31 × 291 × 3111 × 51 × 54131
LCM(27057,27065) = 732297705