What is the Least Common Multiple of 55584 and 55590?

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 55584 and 55590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55584 and 55590, than apply into the LCM equation.

GCF(55584,55590) = 6
LCM(55584,55590) = ( 55584 × 55590) / 6
LCM(55584,55590) = 3089914560 / 6
LCM(55584,55590) = 514985760

Least Common Multiple (LCM) of 55584 and 55590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55584 and 55590. First we will calculate the prime factors of 55584 and 55590.

Prime Factorization of 55584

Prime Factorization of 55590

Now multiplying the highest exponent prime factors to calculate the LCM of 55584 and 55590.

LCM(55584,55590) = 2⁵ × 3² × 193¹ × 5¹ × 17¹ × 109¹
LCM(55584,55590) = 514985760