What is the Least Common Multiple of 86464 and 86470?

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 86464 and 86470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86464 and 86470, than apply into the LCM equation.

GCF(86464,86470) = 2
LCM(86464,86470) = ( 86464 × 86470) / 2
LCM(86464,86470) = 7476542080 / 2
LCM(86464,86470) = 3738271040

Least Common Multiple (LCM) of 86464 and 86470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86464 and 86470. First we will calculate the prime factors of 86464 and 86470.

Prime Factorization of 86464

Prime Factorization of 86470

Now multiplying the highest exponent prime factors to calculate the LCM of 86464 and 86470.

LCM(86464,86470) = 2⁶ × 7¹ × 193¹ × 5¹ × 8647¹
LCM(86464,86470) = 3738271040