What is the Least Common Multiple of 37496 and 37507?

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 37496 and 37507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37496 and 37507, than apply into the LCM equation.

GCF(37496,37507) = 1
LCM(37496,37507) = ( 37496 × 37507) / 1
LCM(37496,37507) = 1406362472 / 1
LCM(37496,37507) = 1406362472

Least Common Multiple (LCM) of 37496 and 37507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37496 and 37507. First we will calculate the prime factors of 37496 and 37507.

Prime Factorization of 37496

Prime Factorization of 37507

Now multiplying the highest exponent prime factors to calculate the LCM of 37496 and 37507.

LCM(37496,37507) = 2³ × 43¹ × 109¹ × 37507¹
LCM(37496,37507) = 1406362472