What is the Least Common Multiple of 24297 and 24309?

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 24297 and 24309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24297 and 24309, than apply into the LCM equation.

GCF(24297,24309) = 3
LCM(24297,24309) = ( 24297 × 24309) / 3
LCM(24297,24309) = 590635773 / 3
LCM(24297,24309) = 196878591

Least Common Multiple (LCM) of 24297 and 24309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24297 and 24309. First we will calculate the prime factors of 24297 and 24309.

Prime Factorization of 24297

Prime Factorization of 24309

Now multiplying the highest exponent prime factors to calculate the LCM of 24297 and 24309.

LCM(24297,24309) = 3² × 7¹ × 13¹ × 89¹ × 37¹ × 73¹
LCM(24297,24309) = 196878591