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What is the Least Common Multiple of 27149 and 27157?

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 27149 and 27157 is 737285393.

LCM(27149,27157) = 737285393

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Least Common Multiple of 27149 and 27157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27149 and 27157, than apply into the LCM equation.

GCF(27149,27157) = 1
LCM(27149,27157) = ( 27149 × 27157) / 1
LCM(27149,27157) = 737285393 / 1
LCM(27149,27157) = 737285393

Least Common Multiple (LCM) of 27149 and 27157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27149 and 27157. First we will calculate the prime factors of 27149 and 27157.

Prime Factorization of 27149

Prime factors of 27149 are 17, 1597. Prime factorization of 27149 in exponential form is:

27149 = 171 × 15971

Prime Factorization of 27157

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

27157 = 131 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 27149 and 27157.

LCM(27149,27157) = 171 × 15971 × 131 × 20891
LCM(27149,27157) = 737285393