What is the Least Common Multiple of 24011 and 24024?

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 24011 and 24024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24011 and 24024, than apply into the LCM equation.

GCF(24011,24024) = 13
LCM(24011,24024) = ( 24011 × 24024) / 13
LCM(24011,24024) = 576840264 / 13
LCM(24011,24024) = 44372328

Least Common Multiple (LCM) of 24011 and 24024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24011 and 24024. First we will calculate the prime factors of 24011 and 24024.

Prime Factorization of 24011

Prime Factorization of 24024

Now multiplying the highest exponent prime factors to calculate the LCM of 24011 and 24024.

LCM(24011,24024) = 13¹ × 1847¹ × 2³ × 3¹ × 7¹ × 11¹
LCM(24011,24024) = 44372328