What is the Least Common Multiple of 86616 and 86630?

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 86616 and 86630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86616 and 86630, than apply into the LCM equation.

GCF(86616,86630) = 2
LCM(86616,86630) = ( 86616 × 86630) / 2
LCM(86616,86630) = 7503544080 / 2
LCM(86616,86630) = 3751772040

Least Common Multiple (LCM) of 86616 and 86630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86616 and 86630. First we will calculate the prime factors of 86616 and 86630.

Prime Factorization of 86616

Prime Factorization of 86630

Now multiplying the highest exponent prime factors to calculate the LCM of 86616 and 86630.

LCM(86616,86630) = 2³ × 3³ × 401¹ × 5¹ × 8663¹
LCM(86616,86630) = 3751772040