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What is the Least Common Multiple of 27664 and 27670?

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 27664 and 27670 is 382731440.

LCM(27664,27670) = 382731440

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Least Common Multiple of 27664 and 27670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27664 and 27670, than apply into the LCM equation.

GCF(27664,27670) = 2
LCM(27664,27670) = ( 27664 × 27670) / 2
LCM(27664,27670) = 765462880 / 2
LCM(27664,27670) = 382731440

Least Common Multiple (LCM) of 27664 and 27670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27664 and 27670. First we will calculate the prime factors of 27664 and 27670.

Prime Factorization of 27664

Prime factors of 27664 are 2, 7, 13, 19. Prime factorization of 27664 in exponential form is:

27664 = 24 × 71 × 131 × 191

Prime Factorization of 27670

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

27670 = 21 × 51 × 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 27664 and 27670.

LCM(27664,27670) = 24 × 71 × 131 × 191 × 51 × 27671
LCM(27664,27670) = 382731440