What is the Least Common Multiple of 80766 and 80784?

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 80766 and 80784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80766 and 80784, than apply into the LCM equation.

GCF(80766,80784) = 18
LCM(80766,80784) = ( 80766 × 80784) / 18
LCM(80766,80784) = 6524600544 / 18
LCM(80766,80784) = 362477808

Least Common Multiple (LCM) of 80766 and 80784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80766 and 80784. First we will calculate the prime factors of 80766 and 80784.

Prime Factorization of 80766

Prime Factorization of 80784

Now multiplying the highest exponent prime factors to calculate the LCM of 80766 and 80784.

LCM(80766,80784) = 2⁴ × 3³ × 7¹ × 641¹ × 11¹ × 17¹
LCM(80766,80784) = 362477808