What is the Least Common Multiple of 78846 and 78861?

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 78846 and 78861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78846 and 78861, than apply into the LCM equation.

GCF(78846,78861) = 3
LCM(78846,78861) = ( 78846 × 78861) / 3
LCM(78846,78861) = 6217874406 / 3
LCM(78846,78861) = 2072624802

Least Common Multiple (LCM) of 78846 and 78861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78846 and 78861. First we will calculate the prime factors of 78846 and 78861.

Prime Factorization of 78846

Prime Factorization of 78861

Now multiplying the highest exponent prime factors to calculate the LCM of 78846 and 78861.

LCM(78846,78861) = 2¹ × 3¹ × 17¹ × 773¹ × 97¹ × 271¹
LCM(78846,78861) = 2072624802