What is the Least Common Multiple of 23325 and 23342?

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 23325 and 23342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23325 and 23342, than apply into the LCM equation.

GCF(23325,23342) = 1
LCM(23325,23342) = ( 23325 × 23342) / 1
LCM(23325,23342) = 544452150 / 1
LCM(23325,23342) = 544452150

Least Common Multiple (LCM) of 23325 and 23342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23325 and 23342. First we will calculate the prime factors of 23325 and 23342.

Prime Factorization of 23325

Prime Factorization of 23342

Now multiplying the highest exponent prime factors to calculate the LCM of 23325 and 23342.

LCM(23325,23342) = 3¹ × 5² × 311¹ × 2¹ × 11¹ × 1061¹
LCM(23325,23342) = 544452150