What is the Least Common Multiple of 8540 and 8545?

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 8540 and 8545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8540 and 8545, than apply into the LCM equation.

GCF(8540,8545) = 5
LCM(8540,8545) = ( 8540 × 8545) / 5
LCM(8540,8545) = 72974300 / 5
LCM(8540,8545) = 14594860

Least Common Multiple (LCM) of 8540 and 8545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8540 and 8545. First we will calculate the prime factors of 8540 and 8545.

Prime Factorization of 8540

Prime Factorization of 8545

Now multiplying the highest exponent prime factors to calculate the LCM of 8540 and 8545.

LCM(8540,8545) = 2² × 5¹ × 7¹ × 61¹ × 1709¹
LCM(8540,8545) = 14594860