What is the Least Common Multiple of 55470 and 55488?

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 55470 and 55488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55470 and 55488, than apply into the LCM equation.

GCF(55470,55488) = 6
LCM(55470,55488) = ( 55470 × 55488) / 6
LCM(55470,55488) = 3077919360 / 6
LCM(55470,55488) = 512986560

Least Common Multiple (LCM) of 55470 and 55488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55470 and 55488. First we will calculate the prime factors of 55470 and 55488.

Prime Factorization of 55470

Prime Factorization of 55488

Now multiplying the highest exponent prime factors to calculate the LCM of 55470 and 55488.

LCM(55470,55488) = 2⁶ × 3¹ × 5¹ × 43² × 17²
LCM(55470,55488) = 512986560