What is the Least Common Multiple of 78840 and 78846?

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 78840 and 78846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78840 and 78846, than apply into the LCM equation.

GCF(78840,78846) = 6
LCM(78840,78846) = ( 78840 × 78846) / 6
LCM(78840,78846) = 6216218640 / 6
LCM(78840,78846) = 1036036440

Least Common Multiple (LCM) of 78840 and 78846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78840 and 78846. First we will calculate the prime factors of 78840 and 78846.

Prime Factorization of 78840

Prime Factorization of 78846

Now multiplying the highest exponent prime factors to calculate the LCM of 78840 and 78846.

LCM(78840,78846) = 2³ × 3³ × 5¹ × 73¹ × 17¹ × 773¹
LCM(78840,78846) = 1036036440