What is the Least Common Multiple of 3260 and 3279?

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 3260 and 3279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3260 and 3279, than apply into the LCM equation.

GCF(3260,3279) = 1
LCM(3260,3279) = ( 3260 × 3279) / 1
LCM(3260,3279) = 10689540 / 1
LCM(3260,3279) = 10689540

Least Common Multiple (LCM) of 3260 and 3279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3260 and 3279. First we will calculate the prime factors of 3260 and 3279.

Prime Factorization of 3260

Prime Factorization of 3279

Now multiplying the highest exponent prime factors to calculate the LCM of 3260 and 3279.

LCM(3260,3279) = 2² × 5¹ × 163¹ × 3¹ × 1093¹
LCM(3260,3279) = 10689540