What is the Least Common Multiple of 2700 and 2707?

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 2707 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 2707, than apply into the LCM equation.

GCF(2700,2707) = 1
LCM(2700,2707) = ( 2700 × 2707) / 1
LCM(2700,2707) = 7308900 / 1
LCM(2700,2707) = 7308900

Least Common Multiple (LCM) of 2700 and 2707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2700 and 2707. First we will calculate the prime factors of 2700 and 2707.

Prime Factorization of 2700

Prime Factorization of 2707

Now multiplying the highest exponent prime factors to calculate the LCM of 2700 and 2707.

LCM(2700,2707) = 2² × 3³ × 5² × 2707¹
LCM(2700,2707) = 7308900