What is the Least Common Multiple of 8500 and 8506?

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 8500 and 8506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8500 and 8506, than apply into the LCM equation.

GCF(8500,8506) = 2
LCM(8500,8506) = ( 8500 × 8506) / 2
LCM(8500,8506) = 72301000 / 2
LCM(8500,8506) = 36150500

Least Common Multiple (LCM) of 8500 and 8506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8500 and 8506. First we will calculate the prime factors of 8500 and 8506.

Prime Factorization of 8500

Prime Factorization of 8506

Now multiplying the highest exponent prime factors to calculate the LCM of 8500 and 8506.

LCM(8500,8506) = 2² × 5³ × 17¹ × 4253¹
LCM(8500,8506) = 36150500