What is the Least Common Multiple of 51474 and 51488?

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 51474 and 51488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51474 and 51488, than apply into the LCM equation.

GCF(51474,51488) = 2
LCM(51474,51488) = ( 51474 × 51488) / 2
LCM(51474,51488) = 2650293312 / 2
LCM(51474,51488) = 1325146656

Least Common Multiple (LCM) of 51474 and 51488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51474 and 51488. First we will calculate the prime factors of 51474 and 51488.

Prime Factorization of 51474

Prime Factorization of 51488

Now multiplying the highest exponent prime factors to calculate the LCM of 51474 and 51488.

LCM(51474,51488) = 2⁵ × 3¹ × 23¹ × 373¹ × 1609¹
LCM(51474,51488) = 1325146656