What is the Least Common Multiple of 32604 and 32608?

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 32604 and 32608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32604 and 32608, than apply into the LCM equation.

GCF(32604,32608) = 4
LCM(32604,32608) = ( 32604 × 32608) / 4
LCM(32604,32608) = 1063151232 / 4
LCM(32604,32608) = 265787808

Least Common Multiple (LCM) of 32604 and 32608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32604 and 32608. First we will calculate the prime factors of 32604 and 32608.

Prime Factorization of 32604

Prime Factorization of 32608

Now multiplying the highest exponent prime factors to calculate the LCM of 32604 and 32608.

LCM(32604,32608) = 2⁵ × 3¹ × 11¹ × 13¹ × 19¹ × 1019¹
LCM(32604,32608) = 265787808