What is the Least Common Multiple of 55008 and 55024?

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 55008 and 55024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55008 and 55024, than apply into the LCM equation.

GCF(55008,55024) = 16
LCM(55008,55024) = ( 55008 × 55024) / 16
LCM(55008,55024) = 3026760192 / 16
LCM(55008,55024) = 189172512

Least Common Multiple (LCM) of 55008 and 55024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55008 and 55024. First we will calculate the prime factors of 55008 and 55024.

Prime Factorization of 55008

Prime Factorization of 55024

Now multiplying the highest exponent prime factors to calculate the LCM of 55008 and 55024.

LCM(55008,55024) = 2⁵ × 3² × 191¹ × 19¹ × 181¹
LCM(55008,55024) = 189172512