What is the Least Common Multiple of 55584 and 55601?

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 55601 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 55601, than apply into the LCM equation.

GCF(55584,55601) = 1
LCM(55584,55601) = ( 55584 × 55601) / 1
LCM(55584,55601) = 3090525984 / 1
LCM(55584,55601) = 3090525984

Least Common Multiple (LCM) of 55584 and 55601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55584 and 55601. First we will calculate the prime factors of 55584 and 55601.

Prime Factorization of 55584

Prime Factorization of 55601

Now multiplying the highest exponent prime factors to calculate the LCM of 55584 and 55601.

LCM(55584,55601) = 2⁵ × 3² × 193¹ × 7¹ × 13² × 47¹
LCM(55584,55601) = 3090525984