What is the Least Common Multiple of 24000 and 24013?

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 24000 and 24013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24000 and 24013, than apply into the LCM equation.

GCF(24000,24013) = 1
LCM(24000,24013) = ( 24000 × 24013) / 1
LCM(24000,24013) = 576312000 / 1
LCM(24000,24013) = 576312000

Least Common Multiple (LCM) of 24000 and 24013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24000 and 24013. First we will calculate the prime factors of 24000 and 24013.

Prime Factorization of 24000

Prime Factorization of 24013

Now multiplying the highest exponent prime factors to calculate the LCM of 24000 and 24013.

LCM(24000,24013) = 2⁶ × 3¹ × 5³ × 11¹ × 37¹ × 59¹
LCM(24000,24013) = 576312000