GCF and LCM Calculator Logo

What is the Least Common Multiple of 1131 and 1137?

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 1131 and 1137 is 428649.

LCM(1131,1137) = 428649

LCM Calculator and
and

Least Common Multiple of 1131 and 1137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1131 and 1137, than apply into the LCM equation.

GCF(1131,1137) = 3
LCM(1131,1137) = ( 1131 × 1137) / 3
LCM(1131,1137) = 1285947 / 3
LCM(1131,1137) = 428649

Least Common Multiple (LCM) of 1131 and 1137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1131 and 1137. First we will calculate the prime factors of 1131 and 1137.

Prime Factorization of 1131

Prime factors of 1131 are 3, 13, 29. Prime factorization of 1131 in exponential form is:

1131 = 31 × 131 × 291

Prime Factorization of 1137

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

1137 = 31 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 1131 and 1137.

LCM(1131,1137) = 31 × 131 × 291 × 3791
LCM(1131,1137) = 428649