What is the Least Common Multiple of 72784 and 72792?

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 72792 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 72792, than apply into the LCM equation.

GCF(72784,72792) = 8
LCM(72784,72792) = ( 72784 × 72792) / 8
LCM(72784,72792) = 5298092928 / 8
LCM(72784,72792) = 662261616

Least Common Multiple (LCM) of 72784 and 72792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72784 and 72792. First we will calculate the prime factors of 72784 and 72792.

Prime Factorization of 72784

Prime Factorization of 72792

Now multiplying the highest exponent prime factors to calculate the LCM of 72784 and 72792.

LCM(72784,72792) = 2⁴ × 4549¹ × 3³ × 337¹
LCM(72784,72792) = 662261616