What is the Least Common Multiple of 37620 and 37626?

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 37620 and 37626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37620 and 37626, than apply into the LCM equation.

GCF(37620,37626) = 6
LCM(37620,37626) = ( 37620 × 37626) / 6
LCM(37620,37626) = 1415490120 / 6
LCM(37620,37626) = 235915020

Least Common Multiple (LCM) of 37620 and 37626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37620 and 37626. First we will calculate the prime factors of 37620 and 37626.

Prime Factorization of 37620

Prime Factorization of 37626

Now multiplying the highest exponent prime factors to calculate the LCM of 37620 and 37626.

LCM(37620,37626) = 2² × 3² × 5¹ × 11¹ × 19¹ × 6271¹
LCM(37620,37626) = 235915020