What is the Least Common Multiple of 43350 and 43368?

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 43350 and 43368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43350 and 43368, than apply into the LCM equation.

GCF(43350,43368) = 6
LCM(43350,43368) = ( 43350 × 43368) / 6
LCM(43350,43368) = 1880002800 / 6
LCM(43350,43368) = 313333800

Least Common Multiple (LCM) of 43350 and 43368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43350 and 43368. First we will calculate the prime factors of 43350 and 43368.

Prime Factorization of 43350

Prime Factorization of 43368

Now multiplying the highest exponent prime factors to calculate the LCM of 43350 and 43368.

LCM(43350,43368) = 2³ × 3¹ × 5² × 17² × 13¹ × 139¹
LCM(43350,43368) = 313333800