What is the Least Common Multiple of 8600 and 8610?

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 8600 and 8610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8600 and 8610, than apply into the LCM equation.

GCF(8600,8610) = 10
LCM(8600,8610) = ( 8600 × 8610) / 10
LCM(8600,8610) = 74046000 / 10
LCM(8600,8610) = 7404600

Least Common Multiple (LCM) of 8600 and 8610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8600 and 8610. First we will calculate the prime factors of 8600 and 8610.

Prime Factorization of 8600

Prime Factorization of 8610

Now multiplying the highest exponent prime factors to calculate the LCM of 8600 and 8610.

LCM(8600,8610) = 2³ × 5² × 43¹ × 3¹ × 7¹ × 41¹
LCM(8600,8610) = 7404600