What is the Least Common Multiple of 43125 and 43136?

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 43136 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 43136, than apply into the LCM equation.

GCF(43125,43136) = 1
LCM(43125,43136) = ( 43125 × 43136) / 1
LCM(43125,43136) = 1860240000 / 1
LCM(43125,43136) = 1860240000

Least Common Multiple (LCM) of 43125 and 43136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43125 and 43136. First we will calculate the prime factors of 43125 and 43136.

Prime Factorization of 43125

Prime Factorization of 43136

Now multiplying the highest exponent prime factors to calculate the LCM of 43125 and 43136.

LCM(43125,43136) = 3¹ × 5⁴ × 23¹ × 2⁷ × 337¹
LCM(43125,43136) = 1860240000