What is the Least Common Multiple of 43440 and 43457?

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 43457 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 43457, than apply into the LCM equation.

GCF(43440,43457) = 1
LCM(43440,43457) = ( 43440 × 43457) / 1
LCM(43440,43457) = 1887772080 / 1
LCM(43440,43457) = 1887772080

Least Common Multiple (LCM) of 43440 and 43457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43440 and 43457. First we will calculate the prime factors of 43440 and 43457.

Prime Factorization of 43440

Prime Factorization of 43457

Now multiplying the highest exponent prime factors to calculate the LCM of 43440 and 43457.

LCM(43440,43457) = 2⁴ × 3¹ × 5¹ × 181¹ × 43457¹
LCM(43440,43457) = 1887772080