What is the Least Common Multiple of 37005 and 37024?

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 37024 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 37024, than apply into the LCM equation.

GCF(37005,37024) = 1
LCM(37005,37024) = ( 37005 × 37024) / 1
LCM(37005,37024) = 1370073120 / 1
LCM(37005,37024) = 1370073120

Least Common Multiple (LCM) of 37005 and 37024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37005 and 37024. First we will calculate the prime factors of 37005 and 37024.

Prime Factorization of 37005

Prime Factorization of 37024

Now multiplying the highest exponent prime factors to calculate the LCM of 37005 and 37024.

LCM(37005,37024) = 3¹ × 5¹ × 2467¹ × 2⁵ × 13¹ × 89¹
LCM(37005,37024) = 1370073120