What is the Least Common Multiple of 43332 and 43347?

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 43332 and 43347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43332 and 43347, than apply into the LCM equation.

GCF(43332,43347) = 3
LCM(43332,43347) = ( 43332 × 43347) / 3
LCM(43332,43347) = 1878312204 / 3
LCM(43332,43347) = 626104068

Least Common Multiple (LCM) of 43332 and 43347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43332 and 43347. First we will calculate the prime factors of 43332 and 43347.

Prime Factorization of 43332

Prime Factorization of 43347

Now multiplying the highest exponent prime factors to calculate the LCM of 43332 and 43347.

LCM(43332,43347) = 2² × 3¹ × 23¹ × 157¹ × 14449¹
LCM(43332,43347) = 626104068