What is the Least Common Multiple of 12780 and 12785?

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 12780 and 12785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12780 and 12785, than apply into the LCM equation.

GCF(12780,12785) = 5
LCM(12780,12785) = ( 12780 × 12785) / 5
LCM(12780,12785) = 163392300 / 5
LCM(12780,12785) = 32678460

Least Common Multiple (LCM) of 12780 and 12785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12780 and 12785. First we will calculate the prime factors of 12780 and 12785.

Prime Factorization of 12780

Prime Factorization of 12785

Now multiplying the highest exponent prime factors to calculate the LCM of 12780 and 12785.

LCM(12780,12785) = 2² × 3² × 5¹ × 71¹ × 2557¹
LCM(12780,12785) = 32678460