What is the Least Common Multiple of 78810 and 78825?

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 78810 and 78825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78810 and 78825, than apply into the LCM equation.

GCF(78810,78825) = 15
LCM(78810,78825) = ( 78810 × 78825) / 15
LCM(78810,78825) = 6212198250 / 15
LCM(78810,78825) = 414146550

Least Common Multiple (LCM) of 78810 and 78825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78810 and 78825. First we will calculate the prime factors of 78810 and 78825.

Prime Factorization of 78810

Prime Factorization of 78825

Now multiplying the highest exponent prime factors to calculate the LCM of 78810 and 78825.

LCM(78810,78825) = 2¹ × 3¹ × 5² × 37¹ × 71¹ × 1051¹
LCM(78810,78825) = 414146550