What is the Least Common Multiple of 43356 and 43374?

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 43374 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 43374, than apply into the LCM equation.

GCF(43356,43374) = 6
LCM(43356,43374) = ( 43356 × 43374) / 6
LCM(43356,43374) = 1880523144 / 6
LCM(43356,43374) = 313420524

Least Common Multiple (LCM) of 43356 and 43374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43356 and 43374. First we will calculate the prime factors of 43356 and 43374.

Prime Factorization of 43356

Prime Factorization of 43374

Now multiplying the highest exponent prime factors to calculate the LCM of 43356 and 43374.

LCM(43356,43374) = 2² × 3¹ × 3613¹ × 7229¹
LCM(43356,43374) = 313420524