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What is the Least Common Multiple of 27157 and 27173?

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 27157 and 27173 is 737937161.

LCM(27157,27173) = 737937161

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Least Common Multiple of 27157 and 27173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27157 and 27173, than apply into the LCM equation.

GCF(27157,27173) = 1
LCM(27157,27173) = ( 27157 × 27173) / 1
LCM(27157,27173) = 737937161 / 1
LCM(27157,27173) = 737937161

Least Common Multiple (LCM) of 27157 and 27173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27157 and 27173. First we will calculate the prime factors of 27157 and 27173.

Prime Factorization of 27157

Prime factors of 27157 are 13, 2089. Prime factorization of 27157 in exponential form is:

27157 = 131 × 20891

Prime Factorization of 27173

Prime factors of 27173 are 29, 937. Prime factorization of 27173 in exponential form is:

27173 = 291 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 27157 and 27173.

LCM(27157,27173) = 131 × 20891 × 291 × 9371
LCM(27157,27173) = 737937161