What is the Least Common Multiple of 37503 and 37509?

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 37503 and 37509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37503 and 37509, than apply into the LCM equation.

GCF(37503,37509) = 3
LCM(37503,37509) = ( 37503 × 37509) / 3
LCM(37503,37509) = 1406700027 / 3
LCM(37503,37509) = 468900009

Least Common Multiple (LCM) of 37503 and 37509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37503 and 37509. First we will calculate the prime factors of 37503 and 37509.

Prime Factorization of 37503

Prime Factorization of 37509

Now multiplying the highest exponent prime factors to calculate the LCM of 37503 and 37509.

LCM(37503,37509) = 3⁴ × 463¹ × 12503¹
LCM(37503,37509) = 468900009