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What is the Least Common Multiple of 27670 and 27674?

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 27670 and 27674 is 382869790.

LCM(27670,27674) = 382869790

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Least Common Multiple of 27670 and 27674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27670 and 27674, than apply into the LCM equation.

GCF(27670,27674) = 2
LCM(27670,27674) = ( 27670 × 27674) / 2
LCM(27670,27674) = 765739580 / 2
LCM(27670,27674) = 382869790

Least Common Multiple (LCM) of 27670 and 27674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27670 and 27674. First we will calculate the prime factors of 27670 and 27674.

Prime Factorization of 27670

Prime factors of 27670 are 2, 5, 2767. Prime factorization of 27670 in exponential form is:

27670 = 21 × 51 × 27671

Prime Factorization of 27674

Prime factors of 27674 are 2, 101, 137. Prime factorization of 27674 in exponential form is:

27674 = 21 × 1011 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 27670 and 27674.

LCM(27670,27674) = 21 × 51 × 27671 × 1011 × 1371
LCM(27670,27674) = 382869790