What is the Least Common Multiple of 83214 and 83221?

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 83214 and 83221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83214 and 83221, than apply into the LCM equation.

GCF(83214,83221) = 1
LCM(83214,83221) = ( 83214 × 83221) / 1
LCM(83214,83221) = 6925152294 / 1
LCM(83214,83221) = 6925152294

Least Common Multiple (LCM) of 83214 and 83221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83214 and 83221. First we will calculate the prime factors of 83214 and 83221.

Prime Factorization of 83214

Prime Factorization of 83221

Now multiplying the highest exponent prime factors to calculate the LCM of 83214 and 83221.

LCM(83214,83221) = 2¹ × 3³ × 23¹ × 67¹ × 83221¹
LCM(83214,83221) = 6925152294