What is the Least Common Multiple of 32408 and 32428?

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 32408 and 32428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32408 and 32428, than apply into the LCM equation.

GCF(32408,32428) = 4
LCM(32408,32428) = ( 32408 × 32428) / 4
LCM(32408,32428) = 1050926624 / 4
LCM(32408,32428) = 262731656

Least Common Multiple (LCM) of 32408 and 32428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32408 and 32428. First we will calculate the prime factors of 32408 and 32428.

Prime Factorization of 32408

Prime Factorization of 32428

Now multiplying the highest exponent prime factors to calculate the LCM of 32408 and 32428.

LCM(32408,32428) = 2³ × 4051¹ × 11² × 67¹
LCM(32408,32428) = 262731656