What is the Least Common Multiple of 43320 and 43337?

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 43320 and 43337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43320 and 43337, than apply into the LCM equation.

GCF(43320,43337) = 1
LCM(43320,43337) = ( 43320 × 43337) / 1
LCM(43320,43337) = 1877358840 / 1
LCM(43320,43337) = 1877358840

Least Common Multiple (LCM) of 43320 and 43337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43320 and 43337. First we will calculate the prime factors of 43320 and 43337.

Prime Factorization of 43320

Prime Factorization of 43337

Now multiplying the highest exponent prime factors to calculate the LCM of 43320 and 43337.

LCM(43320,43337) = 2³ × 3¹ × 5¹ × 19² × 7¹ × 41¹ × 151¹
LCM(43320,43337) = 1877358840