What is the Least Common Multiple of 43254 and 43272?

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 43254 and 43272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43254 and 43272, than apply into the LCM equation.

GCF(43254,43272) = 18
LCM(43254,43272) = ( 43254 × 43272) / 18
LCM(43254,43272) = 1871687088 / 18
LCM(43254,43272) = 103982616

Least Common Multiple (LCM) of 43254 and 43272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43254 and 43272. First we will calculate the prime factors of 43254 and 43272.

Prime Factorization of 43254

Prime Factorization of 43272

Now multiplying the highest exponent prime factors to calculate the LCM of 43254 and 43272.

LCM(43254,43272) = 2³ × 3⁵ × 89¹ × 601¹
LCM(43254,43272) = 103982616