What is the Least Common Multiple of 81205 and 81214?

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 81205 and 81214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81205 and 81214, than apply into the LCM equation.

GCF(81205,81214) = 1
LCM(81205,81214) = ( 81205 × 81214) / 1
LCM(81205,81214) = 6594982870 / 1
LCM(81205,81214) = 6594982870

Least Common Multiple (LCM) of 81205 and 81214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81205 and 81214. First we will calculate the prime factors of 81205 and 81214.

Prime Factorization of 81205

Prime Factorization of 81214

Now multiplying the highest exponent prime factors to calculate the LCM of 81205 and 81214.

LCM(81205,81214) = 5¹ × 109¹ × 149¹ × 2¹ × 7¹ × 5801¹
LCM(81205,81214) = 6594982870