What is the Least Common Multiple of 43675 and 43685?

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 43675 and 43685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43675 and 43685, than apply into the LCM equation.

GCF(43675,43685) = 5
LCM(43675,43685) = ( 43675 × 43685) / 5
LCM(43675,43685) = 1907942375 / 5
LCM(43675,43685) = 381588475

Least Common Multiple (LCM) of 43675 and 43685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43675 and 43685. First we will calculate the prime factors of 43675 and 43685.

Prime Factorization of 43675

Prime Factorization of 43685

Now multiplying the highest exponent prime factors to calculate the LCM of 43675 and 43685.

LCM(43675,43685) = 5² × 1747¹ × 8737¹
LCM(43675,43685) = 381588475