What is the Least Common Multiple of 4569 and 4587?

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 4569 and 4587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4569 and 4587, than apply into the LCM equation.

GCF(4569,4587) = 3
LCM(4569,4587) = ( 4569 × 4587) / 3
LCM(4569,4587) = 20958003 / 3
LCM(4569,4587) = 6986001

Least Common Multiple (LCM) of 4569 and 4587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4569 and 4587. First we will calculate the prime factors of 4569 and 4587.

Prime Factorization of 4569

Prime Factorization of 4587

Now multiplying the highest exponent prime factors to calculate the LCM of 4569 and 4587.

LCM(4569,4587) = 3¹ × 1523¹ × 11¹ × 139¹
LCM(4569,4587) = 6986001