What is the Least Common Multiple of 72789 and 72800?

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 72789 and 72800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72789 and 72800, than apply into the LCM equation.

GCF(72789,72800) = 1
LCM(72789,72800) = ( 72789 × 72800) / 1
LCM(72789,72800) = 5299039200 / 1
LCM(72789,72800) = 5299039200

Least Common Multiple (LCM) of 72789 and 72800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72789 and 72800. First we will calculate the prime factors of 72789 and 72800.

Prime Factorization of 72789

Prime Factorization of 72800

Now multiplying the highest exponent prime factors to calculate the LCM of 72789 and 72800.

LCM(72789,72800) = 3¹ × 19¹ × 1277¹ × 2⁵ × 5² × 7¹ × 13¹
LCM(72789,72800) = 5299039200