What is the Least Common Multiple of 4576 and 4590?

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 4576 and 4590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4576 and 4590, than apply into the LCM equation.

GCF(4576,4590) = 2
LCM(4576,4590) = ( 4576 × 4590) / 2
LCM(4576,4590) = 21003840 / 2
LCM(4576,4590) = 10501920

Least Common Multiple (LCM) of 4576 and 4590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4576 and 4590. First we will calculate the prime factors of 4576 and 4590.

Prime Factorization of 4576

Prime Factorization of 4590

Now multiplying the highest exponent prime factors to calculate the LCM of 4576 and 4590.

LCM(4576,4590) = 2⁵ × 11¹ × 13¹ × 3³ × 5¹ × 17¹
LCM(4576,4590) = 10501920