What is the Least Common Multiple of 23308 and 23318?

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 23308 and 23318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23308 and 23318, than apply into the LCM equation.

GCF(23308,23318) = 2
LCM(23308,23318) = ( 23308 × 23318) / 2
LCM(23308,23318) = 543495944 / 2
LCM(23308,23318) = 271747972

Least Common Multiple (LCM) of 23308 and 23318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23308 and 23318. First we will calculate the prime factors of 23308 and 23318.

Prime Factorization of 23308

Prime Factorization of 23318

Now multiplying the highest exponent prime factors to calculate the LCM of 23308 and 23318.

LCM(23308,23318) = 2² × 5827¹ × 89¹ × 131¹
LCM(23308,23318) = 271747972