What is the Least Common Multiple of 35253 and 35259?

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 35253 and 35259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35253 and 35259, than apply into the LCM equation.

GCF(35253,35259) = 3
LCM(35253,35259) = ( 35253 × 35259) / 3
LCM(35253,35259) = 1242985527 / 3
LCM(35253,35259) = 414328509

Least Common Multiple (LCM) of 35253 and 35259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35253 and 35259. First we will calculate the prime factors of 35253 and 35259.

Prime Factorization of 35253

Prime Factorization of 35259

Now multiplying the highest exponent prime factors to calculate the LCM of 35253 and 35259.

LCM(35253,35259) = 3² × 3917¹ × 7¹ × 23¹ × 73¹
LCM(35253,35259) = 414328509