What is the Least Common Multiple of 86210 and 86214?

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 86210 and 86214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86210 and 86214, than apply into the LCM equation.

GCF(86210,86214) = 2
LCM(86210,86214) = ( 86210 × 86214) / 2
LCM(86210,86214) = 7432508940 / 2
LCM(86210,86214) = 3716254470

Least Common Multiple (LCM) of 86210 and 86214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86210 and 86214. First we will calculate the prime factors of 86210 and 86214.

Prime Factorization of 86210

Prime Factorization of 86214

Now multiplying the highest exponent prime factors to calculate the LCM of 86210 and 86214.

LCM(86210,86214) = 2¹ × 5¹ × 37¹ × 233¹ × 3¹ × 14369¹
LCM(86210,86214) = 3716254470