What is the Least Common Multiple of 53544 and 53556?

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 53544 and 53556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53544 and 53556, than apply into the LCM equation.

GCF(53544,53556) = 12
LCM(53544,53556) = ( 53544 × 53556) / 12
LCM(53544,53556) = 2867602464 / 12
LCM(53544,53556) = 238966872

Least Common Multiple (LCM) of 53544 and 53556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53544 and 53556. First we will calculate the prime factors of 53544 and 53556.

Prime Factorization of 53544

Prime Factorization of 53556

Now multiplying the highest exponent prime factors to calculate the LCM of 53544 and 53556.

LCM(53544,53556) = 2³ × 3¹ × 23¹ × 97¹ × 4463¹
LCM(53544,53556) = 238966872