What is the Least Common Multiple of 37140 and 37155?

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 of 37140 and 37155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37140 and 37155, than apply into the LCM equation.

GCF(37140,37155) = 15
LCM(37140,37155) = ( 37140 × 37155) / 15
LCM(37140,37155) = 1379936700 / 15
LCM(37140,37155) = 91995780

Least Common Multiple (LCM) of 37140 and 37155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37140 and 37155. First we will calculate the prime factors of 37140 and 37155.

Prime Factorization of 37140

Prime Factorization of 37155

Now multiplying the highest exponent prime factors to calculate the LCM of 37140 and 37155.

LCM(37140,37155) = 2² × 3¹ × 5¹ × 619¹ × 2477¹
LCM(37140,37155) = 91995780