What is the Least Common Multiple of 54432 and 54440?

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 54432 and 54440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54432 and 54440, than apply into the LCM equation.

GCF(54432,54440) = 8
LCM(54432,54440) = ( 54432 × 54440) / 8
LCM(54432,54440) = 2963278080 / 8
LCM(54432,54440) = 370409760

Least Common Multiple (LCM) of 54432 and 54440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54432 and 54440. First we will calculate the prime factors of 54432 and 54440.

Prime Factorization of 54432

Prime Factorization of 54440

Now multiplying the highest exponent prime factors to calculate the LCM of 54432 and 54440.

LCM(54432,54440) = 2⁵ × 3⁵ × 7¹ × 5¹ × 1361¹
LCM(54432,54440) = 370409760