What is the Least Common Multiple of 86215 and 86221?

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 86215 and 86221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86215 and 86221, than apply into the LCM equation.

GCF(86215,86221) = 1
LCM(86215,86221) = ( 86215 × 86221) / 1
LCM(86215,86221) = 7433543515 / 1
LCM(86215,86221) = 7433543515

Least Common Multiple (LCM) of 86215 and 86221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86215 and 86221. First we will calculate the prime factors of 86215 and 86221.

Prime Factorization of 86215

Prime Factorization of 86221

Now multiplying the highest exponent prime factors to calculate the LCM of 86215 and 86221.

LCM(86215,86221) = 5¹ × 43¹ × 401¹ × 151¹ × 571¹
LCM(86215,86221) = 7433543515