What is the Least Common Multiple of 32392 and 32406?

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 32392 and 32406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32392 and 32406, than apply into the LCM equation.

GCF(32392,32406) = 2
LCM(32392,32406) = ( 32392 × 32406) / 2
LCM(32392,32406) = 1049695152 / 2
LCM(32392,32406) = 524847576

Least Common Multiple (LCM) of 32392 and 32406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32392 and 32406. First we will calculate the prime factors of 32392 and 32406.

Prime Factorization of 32392

Prime Factorization of 32406

Now multiplying the highest exponent prime factors to calculate the LCM of 32392 and 32406.

LCM(32392,32406) = 2³ × 4049¹ × 3¹ × 11¹ × 491¹
LCM(32392,32406) = 524847576