What is the Least Common Multiple of 24906 and 24924?

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 24906 and 24924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24906 and 24924, than apply into the LCM equation.

GCF(24906,24924) = 6
LCM(24906,24924) = ( 24906 × 24924) / 6
LCM(24906,24924) = 620757144 / 6
LCM(24906,24924) = 103459524

Least Common Multiple (LCM) of 24906 and 24924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24906 and 24924. First we will calculate the prime factors of 24906 and 24924.

Prime Factorization of 24906

Prime Factorization of 24924

Now multiplying the highest exponent prime factors to calculate the LCM of 24906 and 24924.

LCM(24906,24924) = 2² × 3¹ × 7¹ × 593¹ × 31¹ × 67¹
LCM(24906,24924) = 103459524