What is the Least Common Multiple of 72912 and 72917?

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 72912 and 72917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72912 and 72917, than apply into the LCM equation.

GCF(72912,72917) = 1
LCM(72912,72917) = ( 72912 × 72917) / 1
LCM(72912,72917) = 5316524304 / 1
LCM(72912,72917) = 5316524304

Least Common Multiple (LCM) of 72912 and 72917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72912 and 72917. First we will calculate the prime factors of 72912 and 72917.

Prime Factorization of 72912

Prime Factorization of 72917

Now multiplying the highest exponent prime factors to calculate the LCM of 72912 and 72917.

LCM(72912,72917) = 2⁴ × 3¹ × 7² × 31¹ × 13¹ × 71¹ × 79¹
LCM(72912,72917) = 5316524304