What is the Least Common Multiple of 86229 and 86249?

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 86229 and 86249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86229 and 86249, than apply into the LCM equation.

GCF(86229,86249) = 1
LCM(86229,86249) = ( 86229 × 86249) / 1
LCM(86229,86249) = 7437165021 / 1
LCM(86229,86249) = 7437165021

Least Common Multiple (LCM) of 86229 and 86249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86229 and 86249. First we will calculate the prime factors of 86229 and 86249.

Prime Factorization of 86229

Prime Factorization of 86249

Now multiplying the highest exponent prime factors to calculate the LCM of 86229 and 86249.

LCM(86229,86249) = 3² × 11¹ × 13¹ × 67¹ × 86249¹
LCM(86229,86249) = 7437165021