What is the Least Common Multiple of 2325 and 2342?

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 2325 and 2342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2325 and 2342, than apply into the LCM equation.

GCF(2325,2342) = 1
LCM(2325,2342) = ( 2325 × 2342) / 1
LCM(2325,2342) = 5445150 / 1
LCM(2325,2342) = 5445150

Least Common Multiple (LCM) of 2325 and 2342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2325 and 2342. First we will calculate the prime factors of 2325 and 2342.

Prime Factorization of 2325

Prime Factorization of 2342

Now multiplying the highest exponent prime factors to calculate the LCM of 2325 and 2342.

LCM(2325,2342) = 3¹ × 5² × 31¹ × 2¹ × 1171¹
LCM(2325,2342) = 5445150