What is the Least Common Multiple of 43660 and 43675?

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 43660 and 43675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43660 and 43675, than apply into the LCM equation.

GCF(43660,43675) = 5
LCM(43660,43675) = ( 43660 × 43675) / 5
LCM(43660,43675) = 1906850500 / 5
LCM(43660,43675) = 381370100

Least Common Multiple (LCM) of 43660 and 43675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43660 and 43675. First we will calculate the prime factors of 43660 and 43675.

Prime Factorization of 43660

Prime Factorization of 43675

Now multiplying the highest exponent prime factors to calculate the LCM of 43660 and 43675.

LCM(43660,43675) = 2² × 5² × 37¹ × 59¹ × 1747¹
LCM(43660,43675) = 381370100