What is the Least Common Multiple of 43125 and 43137?

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 43125 and 43137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43125 and 43137, than apply into the LCM equation.

GCF(43125,43137) = 3
LCM(43125,43137) = ( 43125 × 43137) / 3
LCM(43125,43137) = 1860283125 / 3
LCM(43125,43137) = 620094375

Least Common Multiple (LCM) of 43125 and 43137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43125 and 43137. First we will calculate the prime factors of 43125 and 43137.

Prime Factorization of 43125

Prime Factorization of 43137

Now multiplying the highest exponent prime factors to calculate the LCM of 43125 and 43137.

LCM(43125,43137) = 3² × 5⁴ × 23¹ × 4793¹
LCM(43125,43137) = 620094375