What is the Least Common Multiple of 78405 and 78422?

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 78405 and 78422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78405 and 78422, than apply into the LCM equation.

GCF(78405,78422) = 1
LCM(78405,78422) = ( 78405 × 78422) / 1
LCM(78405,78422) = 6148676910 / 1
LCM(78405,78422) = 6148676910

Least Common Multiple (LCM) of 78405 and 78422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78405 and 78422. First we will calculate the prime factors of 78405 and 78422.

Prime Factorization of 78405

Prime Factorization of 78422

Now multiplying the highest exponent prime factors to calculate the LCM of 78405 and 78422.

LCM(78405,78422) = 3¹ × 5¹ × 5227¹ × 2¹ × 113¹ × 347¹
LCM(78405,78422) = 6148676910