What is the Least Common Multiple of 80784 and 80802?

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 80784 and 80802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80784 and 80802, than apply into the LCM equation.

GCF(80784,80802) = 18
LCM(80784,80802) = ( 80784 × 80802) / 18
LCM(80784,80802) = 6527508768 / 18
LCM(80784,80802) = 362639376

Least Common Multiple (LCM) of 80784 and 80802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80784 and 80802. First we will calculate the prime factors of 80784 and 80802.

Prime Factorization of 80784

Prime Factorization of 80802

Now multiplying the highest exponent prime factors to calculate the LCM of 80784 and 80802.

LCM(80784,80802) = 2⁴ × 3³ × 11¹ × 17¹ × 67²
LCM(80784,80802) = 362639376