What is the Least Common Multiple of 86208 and 86216?

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 86208 and 86216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86208 and 86216, than apply into the LCM equation.

GCF(86208,86216) = 8
LCM(86208,86216) = ( 86208 × 86216) / 8
LCM(86208,86216) = 7432508928 / 8
LCM(86208,86216) = 929063616

Least Common Multiple (LCM) of 86208 and 86216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86208 and 86216. First we will calculate the prime factors of 86208 and 86216.

Prime Factorization of 86208

Prime Factorization of 86216

Now multiplying the highest exponent prime factors to calculate the LCM of 86208 and 86216.

LCM(86208,86216) = 2⁶ × 3¹ × 449¹ × 13¹ × 829¹
LCM(86208,86216) = 929063616