What is the Least Common Multiple of 73894 and 73899?

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 73894 and 73899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73894 and 73899, than apply into the LCM equation.

GCF(73894,73899) = 1
LCM(73894,73899) = ( 73894 × 73899) / 1
LCM(73894,73899) = 5460692706 / 1
LCM(73894,73899) = 5460692706

Least Common Multiple (LCM) of 73894 and 73899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73894 and 73899. First we will calculate the prime factors of 73894 and 73899.

Prime Factorization of 73894

Prime Factorization of 73899

Now multiplying the highest exponent prime factors to calculate the LCM of 73894 and 73899.

LCM(73894,73899) = 2¹ × 36947¹ × 3³ × 7¹ × 17¹ × 23¹
LCM(73894,73899) = 5460692706