What is the Least Common Multiple of 72784 and 72789?

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 72784 and 72789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72784 and 72789, than apply into the LCM equation.

GCF(72784,72789) = 1
LCM(72784,72789) = ( 72784 × 72789) / 1
LCM(72784,72789) = 5297874576 / 1
LCM(72784,72789) = 5297874576

Least Common Multiple (LCM) of 72784 and 72789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72784 and 72789. First we will calculate the prime factors of 72784 and 72789.

Prime Factorization of 72784

Prime Factorization of 72789

Now multiplying the highest exponent prime factors to calculate the LCM of 72784 and 72789.

LCM(72784,72789) = 2⁴ × 4549¹ × 3¹ × 19¹ × 1277¹
LCM(72784,72789) = 5297874576