What is the Least Common Multiple of 15780 and 15785?

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 15780 and 15785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15780 and 15785, than apply into the LCM equation.

GCF(15780,15785) = 5
LCM(15780,15785) = ( 15780 × 15785) / 5
LCM(15780,15785) = 249087300 / 5
LCM(15780,15785) = 49817460

Least Common Multiple (LCM) of 15780 and 15785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15780 and 15785. First we will calculate the prime factors of 15780 and 15785.

Prime Factorization of 15780

Prime Factorization of 15785

Now multiplying the highest exponent prime factors to calculate the LCM of 15780 and 15785.

LCM(15780,15785) = 2² × 3¹ × 5¹ × 263¹ × 7¹ × 11¹ × 41¹
LCM(15780,15785) = 49817460