What is the Least Common Multiple of 37650 and 37670?

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 37650 and 37670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37650 and 37670, than apply into the LCM equation.

GCF(37650,37670) = 10
LCM(37650,37670) = ( 37650 × 37670) / 10
LCM(37650,37670) = 1418275500 / 10
LCM(37650,37670) = 141827550

Least Common Multiple (LCM) of 37650 and 37670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37650 and 37670. First we will calculate the prime factors of 37650 and 37670.

Prime Factorization of 37650

Prime Factorization of 37670

Now multiplying the highest exponent prime factors to calculate the LCM of 37650 and 37670.

LCM(37650,37670) = 2¹ × 3¹ × 5² × 251¹ × 3767¹
LCM(37650,37670) = 141827550