What is the Least Common Multiple of 86306 and 86315?

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 86306 and 86315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86306 and 86315, than apply into the LCM equation.

GCF(86306,86315) = 1
LCM(86306,86315) = ( 86306 × 86315) / 1
LCM(86306,86315) = 7449502390 / 1
LCM(86306,86315) = 7449502390

Least Common Multiple (LCM) of 86306 and 86315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86306 and 86315. First we will calculate the prime factors of 86306 and 86315.

Prime Factorization of 86306

Prime Factorization of 86315

Now multiplying the highest exponent prime factors to calculate the LCM of 86306 and 86315.

LCM(86306,86315) = 2¹ × 11¹ × 3923¹ × 5¹ × 61¹ × 283¹
LCM(86306,86315) = 7449502390