What is the Least Common Multiple of 47440 and 47451?

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 47440 and 47451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47440 and 47451, than apply into the LCM equation.

GCF(47440,47451) = 1
LCM(47440,47451) = ( 47440 × 47451) / 1
LCM(47440,47451) = 2251075440 / 1
LCM(47440,47451) = 2251075440

Least Common Multiple (LCM) of 47440 and 47451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47440 and 47451. First we will calculate the prime factors of 47440 and 47451.

Prime Factorization of 47440

Prime Factorization of 47451

Now multiplying the highest exponent prime factors to calculate the LCM of 47440 and 47451.

LCM(47440,47451) = 2⁴ × 5¹ × 593¹ × 3¹ × 15817¹
LCM(47440,47451) = 2251075440