What is the Least Common Multiple of 78894 and 78913?

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 78894 and 78913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78894 and 78913, than apply into the LCM equation.

GCF(78894,78913) = 1
LCM(78894,78913) = ( 78894 × 78913) / 1
LCM(78894,78913) = 6225762222 / 1
LCM(78894,78913) = 6225762222

Least Common Multiple (LCM) of 78894 and 78913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78894 and 78913. First we will calculate the prime factors of 78894 and 78913.

Prime Factorization of 78894

Prime Factorization of 78913

Now multiplying the highest exponent prime factors to calculate the LCM of 78894 and 78913.

LCM(78894,78913) = 2¹ × 3⁴ × 487¹ × 23¹ × 47¹ × 73¹
LCM(78894,78913) = 6225762222