What is the Least Common Multiple of 51474 and 51483?

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 51483 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 51483, than apply into the LCM equation.

GCF(51474,51483) = 3
LCM(51474,51483) = ( 51474 × 51483) / 3
LCM(51474,51483) = 2650035942 / 3
LCM(51474,51483) = 883345314

Least Common Multiple (LCM) of 51474 and 51483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51474 and 51483. First we will calculate the prime factors of 51474 and 51483.

Prime Factorization of 51474

Prime Factorization of 51483

Now multiplying the highest exponent prime factors to calculate the LCM of 51474 and 51483.

LCM(51474,51483) = 2¹ × 3¹ × 23¹ × 373¹ × 131²
LCM(51474,51483) = 883345314