What is the Least Common Multiple of 86214 and 86230?

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 86230 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 86230, than apply into the LCM equation.

GCF(86214,86230) = 2
LCM(86214,86230) = ( 86214 × 86230) / 2
LCM(86214,86230) = 7434233220 / 2
LCM(86214,86230) = 3717116610

Least Common Multiple (LCM) of 86214 and 86230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86214 and 86230. First we will calculate the prime factors of 86214 and 86230.

Prime Factorization of 86214

Prime Factorization of 86230

Now multiplying the highest exponent prime factors to calculate the LCM of 86214 and 86230.

LCM(86214,86230) = 2¹ × 3¹ × 14369¹ × 5¹ × 8623¹
LCM(86214,86230) = 3717116610