What is the Least Common Multiple of 18500 and 18506?

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 18500 and 18506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18500 and 18506, than apply into the LCM equation.

GCF(18500,18506) = 2
LCM(18500,18506) = ( 18500 × 18506) / 2
LCM(18500,18506) = 342361000 / 2
LCM(18500,18506) = 171180500

Least Common Multiple (LCM) of 18500 and 18506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18500 and 18506. First we will calculate the prime factors of 18500 and 18506.

Prime Factorization of 18500

Prime Factorization of 18506

Now multiplying the highest exponent prime factors to calculate the LCM of 18500 and 18506.

LCM(18500,18506) = 2² × 5³ × 37¹ × 19¹ × 487¹
LCM(18500,18506) = 171180500