What is the Least Common Multiple of 43425 and 43440?

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 43425 and 43440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43425 and 43440, than apply into the LCM equation.

GCF(43425,43440) = 15
LCM(43425,43440) = ( 43425 × 43440) / 15
LCM(43425,43440) = 1886382000 / 15
LCM(43425,43440) = 125758800

Least Common Multiple (LCM) of 43425 and 43440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43425 and 43440. First we will calculate the prime factors of 43425 and 43440.

Prime Factorization of 43425

Prime Factorization of 43440

Now multiplying the highest exponent prime factors to calculate the LCM of 43425 and 43440.

LCM(43425,43440) = 3² × 5² × 193¹ × 2⁴ × 181¹
LCM(43425,43440) = 125758800