What is the Least Common Multiple of 53544 and 53550?

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 53550 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 53550, than apply into the LCM equation.

GCF(53544,53550) = 6
LCM(53544,53550) = ( 53544 × 53550) / 6
LCM(53544,53550) = 2867281200 / 6
LCM(53544,53550) = 477880200

Least Common Multiple (LCM) of 53544 and 53550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53544 and 53550. First we will calculate the prime factors of 53544 and 53550.

Prime Factorization of 53544

Prime Factorization of 53550

Now multiplying the highest exponent prime factors to calculate the LCM of 53544 and 53550.

LCM(53544,53550) = 2³ × 3² × 23¹ × 97¹ × 5² × 7¹ × 17¹
LCM(53544,53550) = 477880200