What is the Least Common Multiple of 80214 and 80221?

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 80214 and 80221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80214 and 80221, than apply into the LCM equation.

GCF(80214,80221) = 1
LCM(80214,80221) = ( 80214 × 80221) / 1
LCM(80214,80221) = 6434847294 / 1
LCM(80214,80221) = 6434847294

Least Common Multiple (LCM) of 80214 and 80221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80214 and 80221. First we will calculate the prime factors of 80214 and 80221.

Prime Factorization of 80214

Prime Factorization of 80221

Now multiplying the highest exponent prime factors to calculate the LCM of 80214 and 80221.

LCM(80214,80221) = 2¹ × 3¹ × 29¹ × 461¹ × 80221¹
LCM(80214,80221) = 6434847294