What is the Least Common Multiple of 73278 and 73296?

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 73278 and 73296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73278 and 73296, than apply into the LCM equation.

GCF(73278,73296) = 18
LCM(73278,73296) = ( 73278 × 73296) / 18
LCM(73278,73296) = 5370984288 / 18
LCM(73278,73296) = 298388016

Least Common Multiple (LCM) of 73278 and 73296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73278 and 73296. First we will calculate the prime factors of 73278 and 73296.

Prime Factorization of 73278

Prime Factorization of 73296

Now multiplying the highest exponent prime factors to calculate the LCM of 73278 and 73296.

LCM(73278,73296) = 2⁴ × 3³ × 23¹ × 59¹ × 509¹
LCM(73278,73296) = 298388016