What is the Least Common Multiple of 86214 and 86229?

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 86214 and 86229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86214 and 86229, than apply into the LCM equation.

GCF(86214,86229) = 3
LCM(86214,86229) = ( 86214 × 86229) / 3
LCM(86214,86229) = 7434147006 / 3
LCM(86214,86229) = 2478049002

Least Common Multiple (LCM) of 86214 and 86229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86214 and 86229. First we will calculate the prime factors of 86214 and 86229.

Prime Factorization of 86214

Prime Factorization of 86229

Now multiplying the highest exponent prime factors to calculate the LCM of 86214 and 86229.

LCM(86214,86229) = 2¹ × 3² × 14369¹ × 11¹ × 13¹ × 67¹
LCM(86214,86229) = 2478049002