GCF and LCM Calculator Logo

What is the Least Common Multiple of 37095 and 37100?

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 37095 and 37100 is 275244900.

LCM(37095,37100) = 275244900

LCM Calculator and
and

Least Common Multiple of 37095 and 37100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37095 and 37100, than apply into the LCM equation.

GCF(37095,37100) = 5
LCM(37095,37100) = ( 37095 × 37100) / 5
LCM(37095,37100) = 1376224500 / 5
LCM(37095,37100) = 275244900

Least Common Multiple (LCM) of 37095 and 37100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37095 and 37100. First we will calculate the prime factors of 37095 and 37100.

Prime Factorization of 37095

Prime factors of 37095 are 3, 5, 2473. Prime factorization of 37095 in exponential form is:

37095 = 31 × 51 × 24731

Prime Factorization of 37100

Prime factors of 37100 are 2, 5, 7, 53. Prime factorization of 37100 in exponential form is:

37100 = 22 × 52 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 37095 and 37100.

LCM(37095,37100) = 31 × 52 × 24731 × 22 × 71 × 531
LCM(37095,37100) = 275244900