What is the Least Common Multiple of 55224 and 55239?

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 55224 and 55239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55224 and 55239, than apply into the LCM equation.

GCF(55224,55239) = 3
LCM(55224,55239) = ( 55224 × 55239) / 3
LCM(55224,55239) = 3050518536 / 3
LCM(55224,55239) = 1016839512

Least Common Multiple (LCM) of 55224 and 55239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55224 and 55239. First we will calculate the prime factors of 55224 and 55239.

Prime Factorization of 55224

Prime Factorization of 55239

Now multiplying the highest exponent prime factors to calculate the LCM of 55224 and 55239.

LCM(55224,55239) = 2³ × 3² × 13¹ × 59¹ × 18413¹
LCM(55224,55239) = 1016839512