What is the Least Common Multiple of 24600 and 24614?

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 24600 and 24614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24600 and 24614, than apply into the LCM equation.

GCF(24600,24614) = 2
LCM(24600,24614) = ( 24600 × 24614) / 2
LCM(24600,24614) = 605504400 / 2
LCM(24600,24614) = 302752200

Least Common Multiple (LCM) of 24600 and 24614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24600 and 24614. First we will calculate the prime factors of 24600 and 24614.

Prime Factorization of 24600

Prime Factorization of 24614

Now multiplying the highest exponent prime factors to calculate the LCM of 24600 and 24614.

LCM(24600,24614) = 2³ × 3¹ × 5² × 41¹ × 31¹ × 397¹
LCM(24600,24614) = 302752200