What is the Least Common Multiple of 37005 and 37023?

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 37005 and 37023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37005 and 37023, than apply into the LCM equation.

GCF(37005,37023) = 3
LCM(37005,37023) = ( 37005 × 37023) / 3
LCM(37005,37023) = 1370036115 / 3
LCM(37005,37023) = 456678705

Least Common Multiple (LCM) of 37005 and 37023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37005 and 37023. First we will calculate the prime factors of 37005 and 37023.

Prime Factorization of 37005

Prime Factorization of 37023

Now multiplying the highest exponent prime factors to calculate the LCM of 37005 and 37023.

LCM(37005,37023) = 3¹ × 5¹ × 2467¹ × 7¹ × 41¹ × 43¹
LCM(37005,37023) = 456678705