What is the Least Common Multiple of 32478 and 32496?

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 32478 and 32496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32478 and 32496, than apply into the LCM equation.

GCF(32478,32496) = 6
LCM(32478,32496) = ( 32478 × 32496) / 6
LCM(32478,32496) = 1055405088 / 6
LCM(32478,32496) = 175900848

Least Common Multiple (LCM) of 32478 and 32496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32478 and 32496. First we will calculate the prime factors of 32478 and 32496.

Prime Factorization of 32478

Prime Factorization of 32496

Now multiplying the highest exponent prime factors to calculate the LCM of 32478 and 32496.

LCM(32478,32496) = 2⁴ × 3¹ × 5413¹ × 677¹
LCM(32478,32496) = 175900848