What is the Least Common Multiple of 78816 and 78834?

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 78816 and 78834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78816 and 78834, than apply into the LCM equation.

GCF(78816,78834) = 6
LCM(78816,78834) = ( 78816 × 78834) / 6
LCM(78816,78834) = 6213380544 / 6
LCM(78816,78834) = 1035563424

Least Common Multiple (LCM) of 78816 and 78834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78816 and 78834. First we will calculate the prime factors of 78816 and 78834.

Prime Factorization of 78816

Prime Factorization of 78834

Now multiplying the highest exponent prime factors to calculate the LCM of 78816 and 78834.

LCM(78816,78834) = 2⁵ × 3¹ × 821¹ × 7¹ × 1877¹
LCM(78816,78834) = 1035563424