What is the Least Common Multiple of 55548 and 55563?

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 55548 and 55563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55548 and 55563, than apply into the LCM equation.

GCF(55548,55563) = 3
LCM(55548,55563) = ( 55548 × 55563) / 3
LCM(55548,55563) = 3086413524 / 3
LCM(55548,55563) = 1028804508

Least Common Multiple (LCM) of 55548 and 55563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55548 and 55563. First we will calculate the prime factors of 55548 and 55563.

Prime Factorization of 55548

Prime Factorization of 55563

Now multiplying the highest exponent prime factors to calculate the LCM of 55548 and 55563.

LCM(55548,55563) = 2² × 3² × 1543¹ × 18521¹
LCM(55548,55563) = 1028804508