What is the Least Common Multiple of 23380 and 23394?

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 23380 and 23394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23380 and 23394, than apply into the LCM equation.

GCF(23380,23394) = 14
LCM(23380,23394) = ( 23380 × 23394) / 14
LCM(23380,23394) = 546951720 / 14
LCM(23380,23394) = 39067980

Least Common Multiple (LCM) of 23380 and 23394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23380 and 23394. First we will calculate the prime factors of 23380 and 23394.

Prime Factorization of 23380

Prime Factorization of 23394

Now multiplying the highest exponent prime factors to calculate the LCM of 23380 and 23394.

LCM(23380,23394) = 2² × 5¹ × 7¹ × 167¹ × 3¹ × 557¹
LCM(23380,23394) = 39067980