What is the Least Common Multiple of 81214 and 81227?

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 81214 and 81227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81214 and 81227, than apply into the LCM equation.

GCF(81214,81227) = 1
LCM(81214,81227) = ( 81214 × 81227) / 1
LCM(81214,81227) = 6596769578 / 1
LCM(81214,81227) = 6596769578

Least Common Multiple (LCM) of 81214 and 81227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81214 and 81227. First we will calculate the prime factors of 81214 and 81227.

Prime Factorization of 81214

Prime Factorization of 81227

Now multiplying the highest exponent prime factors to calculate the LCM of 81214 and 81227.

LCM(81214,81227) = 2¹ × 7¹ × 5801¹ × 43¹ × 1889¹
LCM(81214,81227) = 6596769578