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What is the Least Common Multiple of 27374 and 27384?

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 27374 and 27384 is 374804808.

LCM(27374,27384) = 374804808

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Least Common Multiple of 27374 and 27384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27374 and 27384, than apply into the LCM equation.

GCF(27374,27384) = 2
LCM(27374,27384) = ( 27374 × 27384) / 2
LCM(27374,27384) = 749609616 / 2
LCM(27374,27384) = 374804808

Least Common Multiple (LCM) of 27374 and 27384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27374 and 27384. First we will calculate the prime factors of 27374 and 27384.

Prime Factorization of 27374

Prime factors of 27374 are 2, 13687. Prime factorization of 27374 in exponential form is:

27374 = 21 × 136871

Prime Factorization of 27384

Prime factors of 27384 are 2, 3, 7, 163. Prime factorization of 27384 in exponential form is:

27384 = 23 × 31 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 27374 and 27384.

LCM(27374,27384) = 23 × 136871 × 31 × 71 × 1631
LCM(27374,27384) = 374804808