What is the Least Common Multiple of 81514 and 81532?

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 81514 and 81532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81514 and 81532, than apply into the LCM equation.

GCF(81514,81532) = 2
LCM(81514,81532) = ( 81514 × 81532) / 2
LCM(81514,81532) = 6645999448 / 2
LCM(81514,81532) = 3322999724

Least Common Multiple (LCM) of 81514 and 81532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81514 and 81532. First we will calculate the prime factors of 81514 and 81532.

Prime Factorization of 81514

Prime Factorization of 81532

Now multiplying the highest exponent prime factors to calculate the LCM of 81514 and 81532.

LCM(81514,81532) = 2² × 53¹ × 769¹ × 11¹ × 17¹ × 109¹
LCM(81514,81532) = 3322999724