What is the Least Common Multiple of 24900 and 24917?

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 24900 and 24917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24900 and 24917, than apply into the LCM equation.

GCF(24900,24917) = 1
LCM(24900,24917) = ( 24900 × 24917) / 1
LCM(24900,24917) = 620433300 / 1
LCM(24900,24917) = 620433300

Least Common Multiple (LCM) of 24900 and 24917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24900 and 24917. First we will calculate the prime factors of 24900 and 24917.

Prime Factorization of 24900

Prime Factorization of 24917

Now multiplying the highest exponent prime factors to calculate the LCM of 24900 and 24917.

LCM(24900,24917) = 2² × 3¹ × 5² × 83¹ × 24917¹
LCM(24900,24917) = 620433300