GCF and LCM Calculator Logo

What is the Least Common Multiple of 37147 and 37159?

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 37147 and 37159 is 1380345373.

LCM(37147,37159) = 1380345373

LCM Calculator and
and

Least Common Multiple of 37147 and 37159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37147 and 37159, than apply into the LCM equation.

GCF(37147,37159) = 1
LCM(37147,37159) = ( 37147 × 37159) / 1
LCM(37147,37159) = 1380345373 / 1
LCM(37147,37159) = 1380345373

Least Common Multiple (LCM) of 37147 and 37159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37147 and 37159. First we will calculate the prime factors of 37147 and 37159.

Prime Factorization of 37147

Prime factors of 37147 are 11, 307. Prime factorization of 37147 in exponential form is:

37147 = 112 × 3071

Prime Factorization of 37159

Prime factors of 37159 are 37159. Prime factorization of 37159 in exponential form is:

37159 = 371591

Now multiplying the highest exponent prime factors to calculate the LCM of 37147 and 37159.

LCM(37147,37159) = 112 × 3071 × 371591
LCM(37147,37159) = 1380345373