What is the Least Common Multiple of 4580 and 4599?

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 4580 and 4599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4580 and 4599, than apply into the LCM equation.

GCF(4580,4599) = 1
LCM(4580,4599) = ( 4580 × 4599) / 1
LCM(4580,4599) = 21063420 / 1
LCM(4580,4599) = 21063420

Least Common Multiple (LCM) of 4580 and 4599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4580 and 4599. First we will calculate the prime factors of 4580 and 4599.

Prime Factorization of 4580

Prime Factorization of 4599

Now multiplying the highest exponent prime factors to calculate the LCM of 4580 and 4599.

LCM(4580,4599) = 2² × 5¹ × 229¹ × 3² × 7¹ × 73¹
LCM(4580,4599) = 21063420