What is the Least Common Multiple of 71514 and 71529?

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 71514 and 71529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71514 and 71529, than apply into the LCM equation.

GCF(71514,71529) = 3
LCM(71514,71529) = ( 71514 × 71529) / 3
LCM(71514,71529) = 5115324906 / 3
LCM(71514,71529) = 1705108302

Least Common Multiple (LCM) of 71514 and 71529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71514 and 71529. First we will calculate the prime factors of 71514 and 71529.

Prime Factorization of 71514

Prime Factorization of 71529

Now multiplying the highest exponent prime factors to calculate the LCM of 71514 and 71529.

LCM(71514,71529) = 2¹ × 3² × 29¹ × 137¹ × 113¹ × 211¹
LCM(71514,71529) = 1705108302