What is the Least Common Multiple of 24307 and 24318?

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 24307 and 24318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24307 and 24318, than apply into the LCM equation.

GCF(24307,24318) = 1
LCM(24307,24318) = ( 24307 × 24318) / 1
LCM(24307,24318) = 591097626 / 1
LCM(24307,24318) = 591097626

Least Common Multiple (LCM) of 24307 and 24318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24307 and 24318. First we will calculate the prime factors of 24307 and 24318.

Prime Factorization of 24307

Prime Factorization of 24318

Now multiplying the highest exponent prime factors to calculate the LCM of 24307 and 24318.

LCM(24307,24318) = 109¹ × 223¹ × 2¹ × 3² × 7¹ × 193¹
LCM(24307,24318) = 591097626