What is the Least Common Multiple of 23340 and 23350?

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 23340 and 23350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23340 and 23350, than apply into the LCM equation.

GCF(23340,23350) = 10
LCM(23340,23350) = ( 23340 × 23350) / 10
LCM(23340,23350) = 544989000 / 10
LCM(23340,23350) = 54498900

Least Common Multiple (LCM) of 23340 and 23350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23340 and 23350. First we will calculate the prime factors of 23340 and 23350.

Prime Factorization of 23340

Prime Factorization of 23350

Now multiplying the highest exponent prime factors to calculate the LCM of 23340 and 23350.

LCM(23340,23350) = 2² × 3¹ × 5² × 389¹ × 467¹
LCM(23340,23350) = 54498900