What is the Least Common Multiple of 78782 and 78793?

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 78782 and 78793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78782 and 78793, than apply into the LCM equation.

GCF(78782,78793) = 11
LCM(78782,78793) = ( 78782 × 78793) / 11
LCM(78782,78793) = 6207470126 / 11
LCM(78782,78793) = 564315466

Least Common Multiple (LCM) of 78782 and 78793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78782 and 78793. First we will calculate the prime factors of 78782 and 78793.

Prime Factorization of 78782

Prime Factorization of 78793

Now multiplying the highest exponent prime factors to calculate the LCM of 78782 and 78793.

LCM(78782,78793) = 2¹ × 11¹ × 3581¹ × 13¹ × 19¹ × 29¹
LCM(78782,78793) = 564315466