What is the Least Common Multiple of 86796 and 86816?

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 86796 and 86816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86796 and 86816, than apply into the LCM equation.

GCF(86796,86816) = 4
LCM(86796,86816) = ( 86796 × 86816) / 4
LCM(86796,86816) = 7535281536 / 4
LCM(86796,86816) = 1883820384

Least Common Multiple (LCM) of 86796 and 86816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86796 and 86816. First we will calculate the prime factors of 86796 and 86816.

Prime Factorization of 86796

Prime Factorization of 86816

Now multiplying the highest exponent prime factors to calculate the LCM of 86796 and 86816.

LCM(86796,86816) = 2⁵ × 3² × 2411¹ × 2713¹
LCM(86796,86816) = 1883820384