What is the Least Common Multiple of 86214 and 86222?

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 86222 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 86222, than apply into the LCM equation.

GCF(86214,86222) = 2
LCM(86214,86222) = ( 86214 × 86222) / 2
LCM(86214,86222) = 7433543508 / 2
LCM(86214,86222) = 3716771754

Least Common Multiple (LCM) of 86214 and 86222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86214 and 86222. First we will calculate the prime factors of 86214 and 86222.

Prime Factorization of 86214

Prime Factorization of 86222

Now multiplying the highest exponent prime factors to calculate the LCM of 86214 and 86222.

LCM(86214,86222) = 2¹ × 3¹ × 14369¹ × 19¹ × 2269¹
LCM(86214,86222) = 3716771754