What is the Least Common Multiple of 68784 and 68796?

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 68784 and 68796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68784 and 68796, than apply into the LCM equation.

GCF(68784,68796) = 12
LCM(68784,68796) = ( 68784 × 68796) / 12
LCM(68784,68796) = 4732064064 / 12
LCM(68784,68796) = 394338672

Least Common Multiple (LCM) of 68784 and 68796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68784 and 68796. First we will calculate the prime factors of 68784 and 68796.

Prime Factorization of 68784

Prime Factorization of 68796

Now multiplying the highest exponent prime factors to calculate the LCM of 68784 and 68796.

LCM(68784,68796) = 2⁴ × 3³ × 1433¹ × 7² × 13¹
LCM(68784,68796) = 394338672