What is the Least Common Multiple of 8540 and 8546?

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 8546 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 8546, than apply into the LCM equation.

GCF(8540,8546) = 2
LCM(8540,8546) = ( 8540 × 8546) / 2
LCM(8540,8546) = 72982840 / 2
LCM(8540,8546) = 36491420

Least Common Multiple (LCM) of 8540 and 8546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8540 and 8546. First we will calculate the prime factors of 8540 and 8546.

Prime Factorization of 8540

Prime Factorization of 8546

Now multiplying the highest exponent prime factors to calculate the LCM of 8540 and 8546.

LCM(8540,8546) = 2² × 5¹ × 7¹ × 61¹ × 4273¹
LCM(8540,8546) = 36491420