What is the Least Common Multiple of 43320 and 43332?

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 43332 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 43332, than apply into the LCM equation.

GCF(43320,43332) = 12
LCM(43320,43332) = ( 43320 × 43332) / 12
LCM(43320,43332) = 1877142240 / 12
LCM(43320,43332) = 156428520

Least Common Multiple (LCM) of 43320 and 43332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43320 and 43332. First we will calculate the prime factors of 43320 and 43332.

Prime Factorization of 43320

Prime Factorization of 43332

Now multiplying the highest exponent prime factors to calculate the LCM of 43320 and 43332.

LCM(43320,43332) = 2³ × 3¹ × 5¹ × 19² × 23¹ × 157¹
LCM(43320,43332) = 156428520