What is the Least Common Multiple of 24690 and 24700?

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 24690 and 24700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24690 and 24700, than apply into the LCM equation.

GCF(24690,24700) = 10
LCM(24690,24700) = ( 24690 × 24700) / 10
LCM(24690,24700) = 609843000 / 10
LCM(24690,24700) = 60984300

Least Common Multiple (LCM) of 24690 and 24700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24690 and 24700. First we will calculate the prime factors of 24690 and 24700.

Prime Factorization of 24690

Prime Factorization of 24700

Now multiplying the highest exponent prime factors to calculate the LCM of 24690 and 24700.

LCM(24690,24700) = 2² × 3¹ × 5² × 823¹ × 13¹ × 19¹
LCM(24690,24700) = 60984300