What is the Least Common Multiple of 55464 and 55470?

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 55464 and 55470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55464 and 55470, than apply into the LCM equation.

GCF(55464,55470) = 6
LCM(55464,55470) = ( 55464 × 55470) / 6
LCM(55464,55470) = 3076588080 / 6
LCM(55464,55470) = 512764680

Least Common Multiple (LCM) of 55464 and 55470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55464 and 55470. First we will calculate the prime factors of 55464 and 55470.

Prime Factorization of 55464

Prime Factorization of 55470

Now multiplying the highest exponent prime factors to calculate the LCM of 55464 and 55470.

LCM(55464,55470) = 2³ × 3¹ × 2311¹ × 5¹ × 43²
LCM(55464,55470) = 512764680