What is the Least Common Multiple of 37610 and 37623?

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 37610 and 37623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37610 and 37623, than apply into the LCM equation.

GCF(37610,37623) = 1
LCM(37610,37623) = ( 37610 × 37623) / 1
LCM(37610,37623) = 1415001030 / 1
LCM(37610,37623) = 1415001030

Least Common Multiple (LCM) of 37610 and 37623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37610 and 37623. First we will calculate the prime factors of 37610 and 37623.

Prime Factorization of 37610

Prime Factorization of 37623

Now multiplying the highest exponent prime factors to calculate the LCM of 37610 and 37623.

LCM(37610,37623) = 2¹ × 5¹ × 3761¹ × 3¹ × 12541¹
LCM(37610,37623) = 1415001030