What is the Least Common Multiple of 37475 and 37480?

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 37475 and 37480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37475 and 37480, than apply into the LCM equation.

GCF(37475,37480) = 5
LCM(37475,37480) = ( 37475 × 37480) / 5
LCM(37475,37480) = 1404563000 / 5
LCM(37475,37480) = 280912600

Least Common Multiple (LCM) of 37475 and 37480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37475 and 37480. First we will calculate the prime factors of 37475 and 37480.

Prime Factorization of 37475

Prime Factorization of 37480

Now multiplying the highest exponent prime factors to calculate the LCM of 37475 and 37480.

LCM(37475,37480) = 5² × 1499¹ × 2³ × 937¹
LCM(37475,37480) = 280912600