What is the Least Common Multiple of 54480 and 54496?

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 54480 and 54496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54480 and 54496, than apply into the LCM equation.

GCF(54480,54496) = 16
LCM(54480,54496) = ( 54480 × 54496) / 16
LCM(54480,54496) = 2968942080 / 16
LCM(54480,54496) = 185558880

Least Common Multiple (LCM) of 54480 and 54496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54480 and 54496. First we will calculate the prime factors of 54480 and 54496.

Prime Factorization of 54480

Prime Factorization of 54496

Now multiplying the highest exponent prime factors to calculate the LCM of 54480 and 54496.

LCM(54480,54496) = 2⁵ × 3¹ × 5¹ × 227¹ × 13¹ × 131¹
LCM(54480,54496) = 185558880