What is the Least Common Multiple of 35475 and 35489?

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 35475 and 35489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35475 and 35489, than apply into the LCM equation.

GCF(35475,35489) = 1
LCM(35475,35489) = ( 35475 × 35489) / 1
LCM(35475,35489) = 1258972275 / 1
LCM(35475,35489) = 1258972275

Least Common Multiple (LCM) of 35475 and 35489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35475 and 35489. First we will calculate the prime factors of 35475 and 35489.

Prime Factorization of 35475

Prime Factorization of 35489

Now multiplying the highest exponent prime factors to calculate the LCM of 35475 and 35489.

LCM(35475,35489) = 3¹ × 5² × 11¹ × 43¹ × 23¹ × 1543¹
LCM(35475,35489) = 1258972275