What is the Least Common Multiple of 24728 and 24733?

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 24728 and 24733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24728 and 24733, than apply into the LCM equation.

GCF(24728,24733) = 1
LCM(24728,24733) = ( 24728 × 24733) / 1
LCM(24728,24733) = 611597624 / 1
LCM(24728,24733) = 611597624

Least Common Multiple (LCM) of 24728 and 24733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24728 and 24733. First we will calculate the prime factors of 24728 and 24733.

Prime Factorization of 24728

Prime Factorization of 24733

Now multiplying the highest exponent prime factors to calculate the LCM of 24728 and 24733.

LCM(24728,24733) = 2³ × 11¹ × 281¹ × 24733¹
LCM(24728,24733) = 611597624