What is the Least Common Multiple of 78814 and 78833?

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 78814 and 78833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78814 and 78833, than apply into the LCM equation.

GCF(78814,78833) = 1
LCM(78814,78833) = ( 78814 × 78833) / 1
LCM(78814,78833) = 6213144062 / 1
LCM(78814,78833) = 6213144062

Least Common Multiple (LCM) of 78814 and 78833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78814 and 78833. First we will calculate the prime factors of 78814 and 78833.

Prime Factorization of 78814

Prime Factorization of 78833

Now multiplying the highest exponent prime factors to calculate the LCM of 78814 and 78833.

LCM(78814,78833) = 2¹ × 157¹ × 251¹ × 31¹ × 2543¹
LCM(78814,78833) = 6213144062