What is the Least Common Multiple of 43440 and 43450?

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 43440 and 43450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43440 and 43450, than apply into the LCM equation.

GCF(43440,43450) = 10
LCM(43440,43450) = ( 43440 × 43450) / 10
LCM(43440,43450) = 1887468000 / 10
LCM(43440,43450) = 188746800

Least Common Multiple (LCM) of 43440 and 43450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43440 and 43450. First we will calculate the prime factors of 43440 and 43450.

Prime Factorization of 43440

Prime Factorization of 43450

Now multiplying the highest exponent prime factors to calculate the LCM of 43440 and 43450.

LCM(43440,43450) = 2⁴ × 3¹ × 5² × 181¹ × 11¹ × 79¹
LCM(43440,43450) = 188746800