What is the Least Common Multiple of 24028 and 24045?

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 24028 and 24045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24028 and 24045, than apply into the LCM equation.

GCF(24028,24045) = 1
LCM(24028,24045) = ( 24028 × 24045) / 1
LCM(24028,24045) = 577753260 / 1
LCM(24028,24045) = 577753260

Least Common Multiple (LCM) of 24028 and 24045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24028 and 24045. First we will calculate the prime factors of 24028 and 24045.

Prime Factorization of 24028

Prime Factorization of 24045

Now multiplying the highest exponent prime factors to calculate the LCM of 24028 and 24045.

LCM(24028,24045) = 2² × 6007¹ × 3¹ × 5¹ × 7¹ × 229¹
LCM(24028,24045) = 577753260