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What is the Least Common Multiple of 27350 and 27358?

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 27350 and 27358 is 374120650.

LCM(27350,27358) = 374120650

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Least Common Multiple of 27350 and 27358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27350 and 27358, than apply into the LCM equation.

GCF(27350,27358) = 2
LCM(27350,27358) = ( 27350 × 27358) / 2
LCM(27350,27358) = 748241300 / 2
LCM(27350,27358) = 374120650

Least Common Multiple (LCM) of 27350 and 27358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27350 and 27358. First we will calculate the prime factors of 27350 and 27358.

Prime Factorization of 27350

Prime factors of 27350 are 2, 5, 547. Prime factorization of 27350 in exponential form is:

27350 = 21 × 52 × 5471

Prime Factorization of 27358

Prime factors of 27358 are 2, 13679. Prime factorization of 27358 in exponential form is:

27358 = 21 × 136791

Now multiplying the highest exponent prime factors to calculate the LCM of 27350 and 27358.

LCM(27350,27358) = 21 × 52 × 5471 × 136791
LCM(27350,27358) = 374120650