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What is the Least Common Multiple of 1137 and 1156?

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 1137 and 1156 is 1314372.

LCM(1137,1156) = 1314372

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Least Common Multiple of 1137 and 1156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1137 and 1156, than apply into the LCM equation.

GCF(1137,1156) = 1
LCM(1137,1156) = ( 1137 × 1156) / 1
LCM(1137,1156) = 1314372 / 1
LCM(1137,1156) = 1314372

Least Common Multiple (LCM) of 1137 and 1156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1137 and 1156. First we will calculate the prime factors of 1137 and 1156.

Prime Factorization of 1137

Prime factors of 1137 are 3, 379. Prime factorization of 1137 in exponential form is:

1137 = 31 × 3791

Prime Factorization of 1156

Prime factors of 1156 are 2, 17. Prime factorization of 1156 in exponential form is:

1156 = 22 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 1137 and 1156.

LCM(1137,1156) = 31 × 3791 × 22 × 172
LCM(1137,1156) = 1314372