What is the Least Common Multiple of 4589 and 4608?

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 4589 and 4608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4589 and 4608, than apply into the LCM equation.

GCF(4589,4608) = 1
LCM(4589,4608) = ( 4589 × 4608) / 1
LCM(4589,4608) = 21146112 / 1
LCM(4589,4608) = 21146112

Least Common Multiple (LCM) of 4589 and 4608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4589 and 4608. First we will calculate the prime factors of 4589 and 4608.

Prime Factorization of 4589

Prime Factorization of 4608

Now multiplying the highest exponent prime factors to calculate the LCM of 4589 and 4608.

LCM(4589,4608) = 13¹ × 353¹ × 2⁹ × 3²
LCM(4589,4608) = 21146112