What is the Least Common Multiple of 55452 and 55464?

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 55452 and 55464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55452 and 55464, than apply into the LCM equation.

GCF(55452,55464) = 12
LCM(55452,55464) = ( 55452 × 55464) / 12
LCM(55452,55464) = 3075589728 / 12
LCM(55452,55464) = 256299144

Least Common Multiple (LCM) of 55452 and 55464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55452 and 55464. First we will calculate the prime factors of 55452 and 55464.

Prime Factorization of 55452

Prime Factorization of 55464

Now multiplying the highest exponent prime factors to calculate the LCM of 55452 and 55464.

LCM(55452,55464) = 2³ × 3¹ × 4621¹ × 2311¹
LCM(55452,55464) = 256299144