What is the Least Common Multiple of 23380 and 23385?

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 23385 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 23385, than apply into the LCM equation.

GCF(23380,23385) = 5
LCM(23380,23385) = ( 23380 × 23385) / 5
LCM(23380,23385) = 546741300 / 5
LCM(23380,23385) = 109348260

Least Common Multiple (LCM) of 23380 and 23385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23380 and 23385. First we will calculate the prime factors of 23380 and 23385.

Prime Factorization of 23380

Prime Factorization of 23385

Now multiplying the highest exponent prime factors to calculate the LCM of 23380 and 23385.

LCM(23380,23385) = 2² × 5¹ × 7¹ × 167¹ × 3¹ × 1559¹
LCM(23380,23385) = 109348260