What is the Least Common Multiple of 86234 and 86247?

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 86234 and 86247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86234 and 86247, than apply into the LCM equation.

GCF(86234,86247) = 1
LCM(86234,86247) = ( 86234 × 86247) / 1
LCM(86234,86247) = 7437423798 / 1
LCM(86234,86247) = 7437423798

Least Common Multiple (LCM) of 86234 and 86247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86234 and 86247. First we will calculate the prime factors of 86234 and 86247.

Prime Factorization of 86234

Prime Factorization of 86247

Now multiplying the highest exponent prime factors to calculate the LCM of 86234 and 86247.

LCM(86234,86247) = 2¹ × 43117¹ × 3² × 7¹ × 37²
LCM(86234,86247) = 7437423798