What is the Least Common Multiple of 78231 and 78243?

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 78231 and 78243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78231 and 78243, than apply into the LCM equation.

GCF(78231,78243) = 3
LCM(78231,78243) = ( 78231 × 78243) / 3
LCM(78231,78243) = 6121028133 / 3
LCM(78231,78243) = 2040342711

Least Common Multiple (LCM) of 78231 and 78243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78231 and 78243. First we will calculate the prime factors of 78231 and 78243.

Prime Factorization of 78231

Prime Factorization of 78243

Now multiplying the highest exponent prime factors to calculate the LCM of 78231 and 78243.

LCM(78231,78243) = 3¹ × 89¹ × 293¹ × 11¹ × 2371¹
LCM(78231,78243) = 2040342711