What is the Least Common Multiple of 35508 and 35517?

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 35508 and 35517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35508 and 35517, than apply into the LCM equation.

GCF(35508,35517) = 3
LCM(35508,35517) = ( 35508 × 35517) / 3
LCM(35508,35517) = 1261137636 / 3
LCM(35508,35517) = 420379212

Least Common Multiple (LCM) of 35508 and 35517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35508 and 35517. First we will calculate the prime factors of 35508 and 35517.

Prime Factorization of 35508

Prime Factorization of 35517

Now multiplying the highest exponent prime factors to calculate the LCM of 35508 and 35517.

LCM(35508,35517) = 2² × 3¹ × 11¹ × 269¹ × 11839¹
LCM(35508,35517) = 420379212