What is the Least Common Multiple of 55224 and 55233?

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 55233 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 55233, than apply into the LCM equation.

GCF(55224,55233) = 9
LCM(55224,55233) = ( 55224 × 55233) / 9
LCM(55224,55233) = 3050187192 / 9
LCM(55224,55233) = 338909688

Least Common Multiple (LCM) of 55224 and 55233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55224 and 55233. First we will calculate the prime factors of 55224 and 55233.

Prime Factorization of 55224

Prime Factorization of 55233

Now multiplying the highest exponent prime factors to calculate the LCM of 55224 and 55233.

LCM(55224,55233) = 2³ × 3² × 13¹ × 59¹ × 17¹ × 19²
LCM(55224,55233) = 338909688