What is the Least Common Multiple of 86258 and 86263?

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 86258 and 86263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86258 and 86263, than apply into the LCM equation.

GCF(86258,86263) = 1
LCM(86258,86263) = ( 86258 × 86263) / 1
LCM(86258,86263) = 7440873854 / 1
LCM(86258,86263) = 7440873854

Least Common Multiple (LCM) of 86258 and 86263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86258 and 86263. First we will calculate the prime factors of 86258 and 86263.

Prime Factorization of 86258

Prime Factorization of 86263

Now multiplying the highest exponent prime factors to calculate the LCM of 86258 and 86263.

LCM(86258,86263) = 2¹ × 17¹ × 43¹ × 59¹ × 86263¹
LCM(86258,86263) = 7440873854