What is the Least Common Multiple of 32600 and 32612?

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 32600 and 32612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32600 and 32612, than apply into the LCM equation.

GCF(32600,32612) = 4
LCM(32600,32612) = ( 32600 × 32612) / 4
LCM(32600,32612) = 1063151200 / 4
LCM(32600,32612) = 265787800

Least Common Multiple (LCM) of 32600 and 32612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32600 and 32612. First we will calculate the prime factors of 32600 and 32612.

Prime Factorization of 32600

Prime Factorization of 32612

Now multiplying the highest exponent prime factors to calculate the LCM of 32600 and 32612.

LCM(32600,32612) = 2³ × 5² × 163¹ × 31¹ × 263¹
LCM(32600,32612) = 265787800