What is the Least Common Multiple of 68816 and 68833?

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 68816 and 68833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68816 and 68833, than apply into the LCM equation.

GCF(68816,68833) = 17
LCM(68816,68833) = ( 68816 × 68833) / 17
LCM(68816,68833) = 4736811728 / 17
LCM(68816,68833) = 278635984

Least Common Multiple (LCM) of 68816 and 68833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68816 and 68833. First we will calculate the prime factors of 68816 and 68833.

Prime Factorization of 68816

Prime Factorization of 68833

Now multiplying the highest exponent prime factors to calculate the LCM of 68816 and 68833.

LCM(68816,68833) = 2⁴ × 11¹ × 17¹ × 23¹ × 4049¹
LCM(68816,68833) = 278635984