What is the Least Common Multiple of 43356 and 43372?

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 43356 and 43372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43356 and 43372, than apply into the LCM equation.

GCF(43356,43372) = 4
LCM(43356,43372) = ( 43356 × 43372) / 4
LCM(43356,43372) = 1880436432 / 4
LCM(43356,43372) = 470109108

Least Common Multiple (LCM) of 43356 and 43372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43356 and 43372. First we will calculate the prime factors of 43356 and 43372.

Prime Factorization of 43356

Prime Factorization of 43372

Now multiplying the highest exponent prime factors to calculate the LCM of 43356 and 43372.

LCM(43356,43372) = 2² × 3¹ × 3613¹ × 7¹ × 1549¹
LCM(43356,43372) = 470109108