What is the Least Common Multiple of 48336 and 48351?

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 48336 and 48351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48336 and 48351, than apply into the LCM equation.

GCF(48336,48351) = 3
LCM(48336,48351) = ( 48336 × 48351) / 3
LCM(48336,48351) = 2337093936 / 3
LCM(48336,48351) = 779031312

Least Common Multiple (LCM) of 48336 and 48351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48336 and 48351. First we will calculate the prime factors of 48336 and 48351.

Prime Factorization of 48336

Prime Factorization of 48351

Now multiplying the highest exponent prime factors to calculate the LCM of 48336 and 48351.

LCM(48336,48351) = 2⁴ × 3¹ × 19¹ × 53¹ × 71¹ × 227¹
LCM(48336,48351) = 779031312