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What is the Least Common Multiple of 27385 and 27396?

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 27385 and 27396 is 750239460.

LCM(27385,27396) = 750239460

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Least Common Multiple of 27385 and 27396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27385 and 27396, than apply into the LCM equation.

GCF(27385,27396) = 1
LCM(27385,27396) = ( 27385 × 27396) / 1
LCM(27385,27396) = 750239460 / 1
LCM(27385,27396) = 750239460

Least Common Multiple (LCM) of 27385 and 27396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27385 and 27396. First we will calculate the prime factors of 27385 and 27396.

Prime Factorization of 27385

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

27385 = 51 × 54771

Prime Factorization of 27396

Prime factors of 27396 are 2, 3, 761. Prime factorization of 27396 in exponential form is:

27396 = 22 × 32 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 27385 and 27396.

LCM(27385,27396) = 51 × 54771 × 22 × 32 × 7611
LCM(27385,27396) = 750239460