What is the Least Common Multiple of 72784 and 72796?

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 72796 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 72796, than apply into the LCM equation.

GCF(72784,72796) = 4
LCM(72784,72796) = ( 72784 × 72796) / 4
LCM(72784,72796) = 5298384064 / 4
LCM(72784,72796) = 1324596016

Least Common Multiple (LCM) of 72784 and 72796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72784 and 72796. First we will calculate the prime factors of 72784 and 72796.

Prime Factorization of 72784

Prime Factorization of 72796

Now multiplying the highest exponent prime factors to calculate the LCM of 72784 and 72796.

LCM(72784,72796) = 2⁴ × 4549¹ × 18199¹
LCM(72784,72796) = 1324596016