What is the Least Common Multiple of 2700 and 2709?

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 2700 and 2709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2700 and 2709, than apply into the LCM equation.

GCF(2700,2709) = 9
LCM(2700,2709) = ( 2700 × 2709) / 9
LCM(2700,2709) = 7314300 / 9
LCM(2700,2709) = 812700

Least Common Multiple (LCM) of 2700 and 2709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2700 and 2709. First we will calculate the prime factors of 2700 and 2709.

Prime Factorization of 2700

Prime Factorization of 2709

Now multiplying the highest exponent prime factors to calculate the LCM of 2700 and 2709.

LCM(2700,2709) = 2² × 3³ × 5² × 7¹ × 43¹
LCM(2700,2709) = 812700