What is the Least Common Multiple of 30816 and 30834?

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 30816 and 30834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30816 and 30834, than apply into the LCM equation.

GCF(30816,30834) = 18
LCM(30816,30834) = ( 30816 × 30834) / 18
LCM(30816,30834) = 950180544 / 18
LCM(30816,30834) = 52787808

Least Common Multiple (LCM) of 30816 and 30834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30816 and 30834. First we will calculate the prime factors of 30816 and 30834.

Prime Factorization of 30816

Prime Factorization of 30834

Now multiplying the highest exponent prime factors to calculate the LCM of 30816 and 30834.

LCM(30816,30834) = 2⁵ × 3³ × 107¹ × 571¹
LCM(30816,30834) = 52787808