What is the Least Common Multiple of 35316 and 35336?

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 35316 and 35336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35316 and 35336, than apply into the LCM equation.

GCF(35316,35336) = 4
LCM(35316,35336) = ( 35316 × 35336) / 4
LCM(35316,35336) = 1247926176 / 4
LCM(35316,35336) = 311981544

Least Common Multiple (LCM) of 35316 and 35336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35316 and 35336. First we will calculate the prime factors of 35316 and 35336.

Prime Factorization of 35316

Prime Factorization of 35336

Now multiplying the highest exponent prime factors to calculate the LCM of 35316 and 35336.

LCM(35316,35336) = 2³ × 3⁴ × 109¹ × 7¹ × 631¹
LCM(35316,35336) = 311981544