What is the Least Common Multiple of 55416 and 55425?

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 55416 and 55425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55416 and 55425, than apply into the LCM equation.

GCF(55416,55425) = 3
LCM(55416,55425) = ( 55416 × 55425) / 3
LCM(55416,55425) = 3071431800 / 3
LCM(55416,55425) = 1023810600

Least Common Multiple (LCM) of 55416 and 55425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55416 and 55425. First we will calculate the prime factors of 55416 and 55425.

Prime Factorization of 55416

Prime Factorization of 55425

Now multiplying the highest exponent prime factors to calculate the LCM of 55416 and 55425.

LCM(55416,55425) = 2³ × 3¹ × 2309¹ × 5² × 739¹
LCM(55416,55425) = 1023810600