What is the Least Common Multiple of 43314 and 43320?

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 43314 and 43320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43314 and 43320, than apply into the LCM equation.

GCF(43314,43320) = 6
LCM(43314,43320) = ( 43314 × 43320) / 6
LCM(43314,43320) = 1876362480 / 6
LCM(43314,43320) = 312727080

Least Common Multiple (LCM) of 43314 and 43320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43314 and 43320. First we will calculate the prime factors of 43314 and 43320.

Prime Factorization of 43314

Prime Factorization of 43320

Now multiplying the highest exponent prime factors to calculate the LCM of 43314 and 43320.

LCM(43314,43320) = 2³ × 3¹ × 7219¹ × 5¹ × 19²
LCM(43314,43320) = 312727080