What is the Least Common Multiple of 37623 and 37635?

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 37623 and 37635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37623 and 37635, than apply into the LCM equation.

GCF(37623,37635) = 3
LCM(37623,37635) = ( 37623 × 37635) / 3
LCM(37623,37635) = 1415941605 / 3
LCM(37623,37635) = 471980535

Least Common Multiple (LCM) of 37623 and 37635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37623 and 37635. First we will calculate the prime factors of 37623 and 37635.

Prime Factorization of 37623

Prime Factorization of 37635

Now multiplying the highest exponent prime factors to calculate the LCM of 37623 and 37635.

LCM(37623,37635) = 3¹ × 12541¹ × 5¹ × 13¹ × 193¹
LCM(37623,37635) = 471980535