What is the Least Common Multiple of 55209 and 55224?

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 55209 and 55224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55209 and 55224, than apply into the LCM equation.

GCF(55209,55224) = 3
LCM(55209,55224) = ( 55209 × 55224) / 3
LCM(55209,55224) = 3048861816 / 3
LCM(55209,55224) = 1016287272

Least Common Multiple (LCM) of 55209 and 55224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55209 and 55224. First we will calculate the prime factors of 55209 and 55224.

Prime Factorization of 55209

Prime Factorization of 55224

Now multiplying the highest exponent prime factors to calculate the LCM of 55209 and 55224.

LCM(55209,55224) = 3² × 7¹ × 11¹ × 239¹ × 2³ × 13¹ × 59¹
LCM(55209,55224) = 1016287272