What is the Least Common Multiple of 81214 and 81233?

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 81233 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 81233, than apply into the LCM equation.

GCF(81214,81233) = 1
LCM(81214,81233) = ( 81214 × 81233) / 1
LCM(81214,81233) = 6597256862 / 1
LCM(81214,81233) = 6597256862

Least Common Multiple (LCM) of 81214 and 81233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81214 and 81233. First we will calculate the prime factors of 81214 and 81233.

Prime Factorization of 81214

Prime Factorization of 81233

Now multiplying the highest exponent prime factors to calculate the LCM of 81214 and 81233.

LCM(81214,81233) = 2¹ × 7¹ × 5801¹ × 81233¹
LCM(81214,81233) = 6597256862