What is the Least Common Multiple of 43320 and 43335?

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 43320 and 43335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43320 and 43335, than apply into the LCM equation.

GCF(43320,43335) = 15
LCM(43320,43335) = ( 43320 × 43335) / 15
LCM(43320,43335) = 1877272200 / 15
LCM(43320,43335) = 125151480

Least Common Multiple (LCM) of 43320 and 43335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43320 and 43335. First we will calculate the prime factors of 43320 and 43335.

Prime Factorization of 43320

Prime Factorization of 43335

Now multiplying the highest exponent prime factors to calculate the LCM of 43320 and 43335.

LCM(43320,43335) = 2³ × 3⁴ × 5¹ × 19² × 107¹
LCM(43320,43335) = 125151480