What is the Least Common Multiple of 54408 and 54424?

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 54408 and 54424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54408 and 54424, than apply into the LCM equation.

GCF(54408,54424) = 8
LCM(54408,54424) = ( 54408 × 54424) / 8
LCM(54408,54424) = 2961100992 / 8
LCM(54408,54424) = 370137624

Least Common Multiple (LCM) of 54408 and 54424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54408 and 54424. First we will calculate the prime factors of 54408 and 54424.

Prime Factorization of 54408

Prime Factorization of 54424

Now multiplying the highest exponent prime factors to calculate the LCM of 54408 and 54424.

LCM(54408,54424) = 2³ × 3¹ × 2267¹ × 6803¹
LCM(54408,54424) = 370137624