What is the Least Common Multiple of 32440 and 32451?

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 32440 and 32451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32440 and 32451, than apply into the LCM equation.

GCF(32440,32451) = 1
LCM(32440,32451) = ( 32440 × 32451) / 1
LCM(32440,32451) = 1052710440 / 1
LCM(32440,32451) = 1052710440

Least Common Multiple (LCM) of 32440 and 32451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32440 and 32451. First we will calculate the prime factors of 32440 and 32451.

Prime Factorization of 32440

Prime Factorization of 32451

Now multiplying the highest exponent prime factors to calculate the LCM of 32440 and 32451.

LCM(32440,32451) = 2³ × 5¹ × 811¹ × 3¹ × 29¹ × 373¹
LCM(32440,32451) = 1052710440