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What is the Least Common Multiple of 27339 and 27355?

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 27339 and 27355 is 747858345.

LCM(27339,27355) = 747858345

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Least Common Multiple of 27339 and 27355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27339 and 27355, than apply into the LCM equation.

GCF(27339,27355) = 1
LCM(27339,27355) = ( 27339 × 27355) / 1
LCM(27339,27355) = 747858345 / 1
LCM(27339,27355) = 747858345

Least Common Multiple (LCM) of 27339 and 27355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27339 and 27355. First we will calculate the prime factors of 27339 and 27355.

Prime Factorization of 27339

Prime factors of 27339 are 3, 13, 701. Prime factorization of 27339 in exponential form is:

27339 = 31 × 131 × 7011

Prime Factorization of 27355

Prime factors of 27355 are 5, 5471. Prime factorization of 27355 in exponential form is:

27355 = 51 × 54711

Now multiplying the highest exponent prime factors to calculate the LCM of 27339 and 27355.

LCM(27339,27355) = 31 × 131 × 7011 × 51 × 54711
LCM(27339,27355) = 747858345