What is the Least Common Multiple of 37014 and 37020?

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 37014 and 37020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37014 and 37020, than apply into the LCM equation.

GCF(37014,37020) = 6
LCM(37014,37020) = ( 37014 × 37020) / 6
LCM(37014,37020) = 1370258280 / 6
LCM(37014,37020) = 228376380

Least Common Multiple (LCM) of 37014 and 37020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37014 and 37020. First we will calculate the prime factors of 37014 and 37020.

Prime Factorization of 37014

Prime Factorization of 37020

Now multiplying the highest exponent prime factors to calculate the LCM of 37014 and 37020.

LCM(37014,37020) = 2² × 3¹ × 31¹ × 199¹ × 5¹ × 617¹
LCM(37014,37020) = 228376380