What is the Least Common Multiple of 32266 and 32279?

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 32266 and 32279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32266 and 32279, than apply into the LCM equation.

GCF(32266,32279) = 13
LCM(32266,32279) = ( 32266 × 32279) / 13
LCM(32266,32279) = 1041514214 / 13
LCM(32266,32279) = 80116478

Least Common Multiple (LCM) of 32266 and 32279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32266 and 32279. First we will calculate the prime factors of 32266 and 32279.

Prime Factorization of 32266

Prime Factorization of 32279

Now multiplying the highest exponent prime factors to calculate the LCM of 32266 and 32279.

LCM(32266,32279) = 2¹ × 13² × 17¹ × 73¹ × 191¹
LCM(32266,32279) = 80116478