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What is the Least Common Multiple of 27156 and 27167?

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 27156 and 27167 is 737747052.

LCM(27156,27167) = 737747052

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Least Common Multiple of 27156 and 27167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27156 and 27167, than apply into the LCM equation.

GCF(27156,27167) = 1
LCM(27156,27167) = ( 27156 × 27167) / 1
LCM(27156,27167) = 737747052 / 1
LCM(27156,27167) = 737747052

Least Common Multiple (LCM) of 27156 and 27167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27156 and 27167. First we will calculate the prime factors of 27156 and 27167.

Prime Factorization of 27156

Prime factors of 27156 are 2, 3, 31, 73. Prime factorization of 27156 in exponential form is:

27156 = 22 × 31 × 311 × 731

Prime Factorization of 27167

Prime factors of 27167 are 7, 3881. Prime factorization of 27167 in exponential form is:

27167 = 71 × 38811

Now multiplying the highest exponent prime factors to calculate the LCM of 27156 and 27167.

LCM(27156,27167) = 22 × 31 × 311 × 731 × 71 × 38811
LCM(27156,27167) = 737747052