What is the Least Common Multiple of 38514 and 38529?

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 38514 and 38529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38514 and 38529, than apply into the LCM equation.

GCF(38514,38529) = 3
LCM(38514,38529) = ( 38514 × 38529) / 3
LCM(38514,38529) = 1483905906 / 3
LCM(38514,38529) = 494635302

Least Common Multiple (LCM) of 38514 and 38529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38514 and 38529. First we will calculate the prime factors of 38514 and 38529.

Prime Factorization of 38514

Prime Factorization of 38529

Now multiplying the highest exponent prime factors to calculate the LCM of 38514 and 38529.

LCM(38514,38529) = 2¹ × 3³ × 7² × 131¹ × 1427¹
LCM(38514,38529) = 494635302