What is the Least Common Multiple of 86816 and 86830?

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 86816 and 86830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86816 and 86830, than apply into the LCM equation.

GCF(86816,86830) = 2
LCM(86816,86830) = ( 86816 × 86830) / 2
LCM(86816,86830) = 7538233280 / 2
LCM(86816,86830) = 3769116640

Least Common Multiple (LCM) of 86816 and 86830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86816 and 86830. First we will calculate the prime factors of 86816 and 86830.

Prime Factorization of 86816

Prime Factorization of 86830

Now multiplying the highest exponent prime factors to calculate the LCM of 86816 and 86830.

LCM(86816,86830) = 2⁵ × 2713¹ × 5¹ × 19¹ × 457¹
LCM(86816,86830) = 3769116640