What is the Least Common Multiple of 23370 and 23382?

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 23370 and 23382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23370 and 23382, than apply into the LCM equation.

GCF(23370,23382) = 6
LCM(23370,23382) = ( 23370 × 23382) / 6
LCM(23370,23382) = 546437340 / 6
LCM(23370,23382) = 91072890

Least Common Multiple (LCM) of 23370 and 23382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23370 and 23382. First we will calculate the prime factors of 23370 and 23382.

Prime Factorization of 23370

Prime Factorization of 23382

Now multiplying the highest exponent prime factors to calculate the LCM of 23370 and 23382.

LCM(23370,23382) = 2¹ × 3³ × 5¹ × 19¹ × 41¹ × 433¹
LCM(23370,23382) = 91072890