What is the Least Common Multiple of 8700 and 8709?

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 8700 and 8709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8700 and 8709, than apply into the LCM equation.

GCF(8700,8709) = 3
LCM(8700,8709) = ( 8700 × 8709) / 3
LCM(8700,8709) = 75768300 / 3
LCM(8700,8709) = 25256100

Least Common Multiple (LCM) of 8700 and 8709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8700 and 8709. First we will calculate the prime factors of 8700 and 8709.

Prime Factorization of 8700

Prime Factorization of 8709

Now multiplying the highest exponent prime factors to calculate the LCM of 8700 and 8709.

LCM(8700,8709) = 2² × 3¹ × 5² × 29¹ × 2903¹
LCM(8700,8709) = 25256100