What is the Least Common Multiple of 23780 and 23785?

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 23780 and 23785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23780 and 23785, than apply into the LCM equation.

GCF(23780,23785) = 5
LCM(23780,23785) = ( 23780 × 23785) / 5
LCM(23780,23785) = 565607300 / 5
LCM(23780,23785) = 113121460

Least Common Multiple (LCM) of 23780 and 23785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23780 and 23785. First we will calculate the prime factors of 23780 and 23785.

Prime Factorization of 23780

Prime Factorization of 23785

Now multiplying the highest exponent prime factors to calculate the LCM of 23780 and 23785.

LCM(23780,23785) = 2² × 5¹ × 29¹ × 41¹ × 67¹ × 71¹
LCM(23780,23785) = 113121460