What is the Least Common Multiple of 35514 and 35529?

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 35514 and 35529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35514 and 35529, than apply into the LCM equation.

GCF(35514,35529) = 3
LCM(35514,35529) = ( 35514 × 35529) / 3
LCM(35514,35529) = 1261776906 / 3
LCM(35514,35529) = 420592302

Least Common Multiple (LCM) of 35514 and 35529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35514 and 35529. First we will calculate the prime factors of 35514 and 35529.

Prime Factorization of 35514

Prime Factorization of 35529

Now multiplying the highest exponent prime factors to calculate the LCM of 35514 and 35529.

LCM(35514,35529) = 2¹ × 3² × 1973¹ × 13¹ × 911¹
LCM(35514,35529) = 420592302