What is the Least Common Multiple of 51002 and 51016?

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 51002 and 51016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51002 and 51016, than apply into the LCM equation.

GCF(51002,51016) = 14
LCM(51002,51016) = ( 51002 × 51016) / 14
LCM(51002,51016) = 2601918032 / 14
LCM(51002,51016) = 185851288

Least Common Multiple (LCM) of 51002 and 51016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51002 and 51016. First we will calculate the prime factors of 51002 and 51016.

Prime Factorization of 51002

Prime Factorization of 51016

Now multiplying the highest exponent prime factors to calculate the LCM of 51002 and 51016.

LCM(51002,51016) = 2³ × 7¹ × 3643¹ × 911¹
LCM(51002,51016) = 185851288