What is the Least Common Multiple of 86398 and 86416?

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 86398 and 86416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86398 and 86416, than apply into the LCM equation.

GCF(86398,86416) = 2
LCM(86398,86416) = ( 86398 × 86416) / 2
LCM(86398,86416) = 7466169568 / 2
LCM(86398,86416) = 3733084784

Least Common Multiple (LCM) of 86398 and 86416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86398 and 86416. First we will calculate the prime factors of 86398 and 86416.

Prime Factorization of 86398

Prime Factorization of 86416

Now multiplying the highest exponent prime factors to calculate the LCM of 86398 and 86416.

LCM(86398,86416) = 2⁴ × 13¹ × 3323¹ × 11¹ × 491¹
LCM(86398,86416) = 3733084784