What is the Least Common Multiple of 82816 and 82824?

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 82816 and 82824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82816 and 82824, than apply into the LCM equation.

GCF(82816,82824) = 8
LCM(82816,82824) = ( 82816 × 82824) / 8
LCM(82816,82824) = 6859152384 / 8
LCM(82816,82824) = 857394048

Least Common Multiple (LCM) of 82816 and 82824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82816 and 82824. First we will calculate the prime factors of 82816 and 82824.

Prime Factorization of 82816

Prime Factorization of 82824

Now multiplying the highest exponent prime factors to calculate the LCM of 82816 and 82824.

LCM(82816,82824) = 2⁷ × 647¹ × 3¹ × 7¹ × 17¹ × 29¹
LCM(82816,82824) = 857394048