What is the Least Common Multiple of 86470 and 86486?

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 86470 and 86486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86470 and 86486, than apply into the LCM equation.

GCF(86470,86486) = 2
LCM(86470,86486) = ( 86470 × 86486) / 2
LCM(86470,86486) = 7478444420 / 2
LCM(86470,86486) = 3739222210

Least Common Multiple (LCM) of 86470 and 86486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86470 and 86486. First we will calculate the prime factors of 86470 and 86486.

Prime Factorization of 86470

Prime Factorization of 86486

Now multiplying the highest exponent prime factors to calculate the LCM of 86470 and 86486.

LCM(86470,86486) = 2¹ × 5¹ × 8647¹ × 83¹ × 521¹
LCM(86470,86486) = 3739222210