What is the Least Common Multiple of 80777 and 80793?

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 80777 and 80793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80777 and 80793, than apply into the LCM equation.

GCF(80777,80793) = 1
LCM(80777,80793) = ( 80777 × 80793) / 1
LCM(80777,80793) = 6526216161 / 1
LCM(80777,80793) = 6526216161

Least Common Multiple (LCM) of 80777 and 80793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80777 and 80793. First we will calculate the prime factors of 80777 and 80793.

Prime Factorization of 80777

Prime Factorization of 80793

Now multiplying the highest exponent prime factors to calculate the LCM of 80777 and 80793.

LCM(80777,80793) = 80777¹ × 3² × 47¹ × 191¹
LCM(80777,80793) = 6526216161