What is the Least Common Multiple of 51488 and 51493?

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 51488 and 51493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51488 and 51493, than apply into the LCM equation.

GCF(51488,51493) = 1
LCM(51488,51493) = ( 51488 × 51493) / 1
LCM(51488,51493) = 2651271584 / 1
LCM(51488,51493) = 2651271584

Least Common Multiple (LCM) of 51488 and 51493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51488 and 51493. First we will calculate the prime factors of 51488 and 51493.

Prime Factorization of 51488

Prime Factorization of 51493

Now multiplying the highest exponent prime factors to calculate the LCM of 51488 and 51493.

LCM(51488,51493) = 2⁵ × 1609¹ × 13¹ × 17¹ × 233¹
LCM(51488,51493) = 2651271584