What is the Least Common Multiple of 78805 and 78810?

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 78805 and 78810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78805 and 78810, than apply into the LCM equation.

GCF(78805,78810) = 5
LCM(78805,78810) = ( 78805 × 78810) / 5
LCM(78805,78810) = 6210622050 / 5
LCM(78805,78810) = 1242124410

Least Common Multiple (LCM) of 78805 and 78810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78805 and 78810. First we will calculate the prime factors of 78805 and 78810.

Prime Factorization of 78805

Prime Factorization of 78810

Now multiplying the highest exponent prime factors to calculate the LCM of 78805 and 78810.

LCM(78805,78810) = 5¹ × 15761¹ × 2¹ × 3¹ × 37¹ × 71¹
LCM(78805,78810) = 1242124410