What is the Least Common Multiple of 51008 and 51022?

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 51008 and 51022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51008 and 51022, than apply into the LCM equation.

GCF(51008,51022) = 2
LCM(51008,51022) = ( 51008 × 51022) / 2
LCM(51008,51022) = 2602530176 / 2
LCM(51008,51022) = 1301265088

Least Common Multiple (LCM) of 51008 and 51022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51008 and 51022. First we will calculate the prime factors of 51008 and 51022.

Prime Factorization of 51008

Prime Factorization of 51022

Now multiplying the highest exponent prime factors to calculate the LCM of 51008 and 51022.

LCM(51008,51022) = 2⁶ × 797¹ × 97¹ × 263¹
LCM(51008,51022) = 1301265088