What is the Least Common Multiple of 72894 and 72899?

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 72894 and 72899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72894 and 72899, than apply into the LCM equation.

GCF(72894,72899) = 1
LCM(72894,72899) = ( 72894 × 72899) / 1
LCM(72894,72899) = 5313899706 / 1
LCM(72894,72899) = 5313899706

Least Common Multiple (LCM) of 72894 and 72899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72894 and 72899. First we will calculate the prime factors of 72894 and 72899.

Prime Factorization of 72894

Prime Factorization of 72899

Now multiplying the highest exponent prime factors to calculate the LCM of 72894 and 72899.

LCM(72894,72899) = 2¹ × 3¹ × 12149¹ × 269¹ × 271¹
LCM(72894,72899) = 5313899706