What is the Least Common Multiple of 55000 and 55008?

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 55000 and 55008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55000 and 55008, than apply into the LCM equation.

GCF(55000,55008) = 8
LCM(55000,55008) = ( 55000 × 55008) / 8
LCM(55000,55008) = 3025440000 / 8
LCM(55000,55008) = 378180000

Least Common Multiple (LCM) of 55000 and 55008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55000 and 55008. First we will calculate the prime factors of 55000 and 55008.

Prime Factorization of 55000

Prime Factorization of 55008

Now multiplying the highest exponent prime factors to calculate the LCM of 55000 and 55008.

LCM(55000,55008) = 2⁵ × 5⁴ × 11¹ × 3² × 191¹
LCM(55000,55008) = 378180000