What is the Least Common Multiple of 55008 and 55014?

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 55014 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 55014, than apply into the LCM equation.

GCF(55008,55014) = 6
LCM(55008,55014) = ( 55008 × 55014) / 6
LCM(55008,55014) = 3026210112 / 6
LCM(55008,55014) = 504368352

Least Common Multiple (LCM) of 55008 and 55014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55008 and 55014. First we will calculate the prime factors of 55008 and 55014.

Prime Factorization of 55008

Prime Factorization of 55014

Now multiplying the highest exponent prime factors to calculate the LCM of 55008 and 55014.

LCM(55008,55014) = 2⁵ × 3² × 191¹ × 53¹ × 173¹
LCM(55008,55014) = 504368352