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What is the Least Common Multiple of 27377 and 27385?

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 27377 and 27385 is 749719145.

LCM(27377,27385) = 749719145

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Least Common Multiple of 27377 and 27385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27377 and 27385, than apply into the LCM equation.

GCF(27377,27385) = 1
LCM(27377,27385) = ( 27377 × 27385) / 1
LCM(27377,27385) = 749719145 / 1
LCM(27377,27385) = 749719145

Least Common Multiple (LCM) of 27377 and 27385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27377 and 27385. First we will calculate the prime factors of 27377 and 27385.

Prime Factorization of 27377

Prime factors of 27377 are 7, 3911. Prime factorization of 27377 in exponential form is:

27377 = 71 × 39111

Prime Factorization of 27385

Prime factors of 27385 are 5, 5477. Prime factorization of 27385 in exponential form is:

27385 = 51 × 54771

Now multiplying the highest exponent prime factors to calculate the LCM of 27377 and 27385.

LCM(27377,27385) = 71 × 39111 × 51 × 54771
LCM(27377,27385) = 749719145