What is the Least Common Multiple of 32264 and 32268?

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 32264 and 32268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32264 and 32268, than apply into the LCM equation.

GCF(32264,32268) = 4
LCM(32264,32268) = ( 32264 × 32268) / 4
LCM(32264,32268) = 1041094752 / 4
LCM(32264,32268) = 260273688

Least Common Multiple (LCM) of 32264 and 32268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32264 and 32268. First we will calculate the prime factors of 32264 and 32268.

Prime Factorization of 32264

Prime Factorization of 32268

Now multiplying the highest exponent prime factors to calculate the LCM of 32264 and 32268.

LCM(32264,32268) = 2³ × 37¹ × 109¹ × 3¹ × 2689¹
LCM(32264,32268) = 260273688