What is the Least Common Multiple of 55452 and 55466?

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 55466 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 55466, than apply into the LCM equation.

GCF(55452,55466) = 2
LCM(55452,55466) = ( 55452 × 55466) / 2
LCM(55452,55466) = 3075700632 / 2
LCM(55452,55466) = 1537850316

Least Common Multiple (LCM) of 55452 and 55466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55452 and 55466. First we will calculate the prime factors of 55452 and 55466.

Prime Factorization of 55452

Prime Factorization of 55466

Now multiplying the highest exponent prime factors to calculate the LCM of 55452 and 55466.

LCM(55452,55466) = 2² × 3¹ × 4621¹ × 27733¹
LCM(55452,55466) = 1537850316