What is the Least Common Multiple of 17451 and 17457?

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 17451 and 17457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17451 and 17457, than apply into the LCM equation.

GCF(17451,17457) = 3
LCM(17451,17457) = ( 17451 × 17457) / 3
LCM(17451,17457) = 304642107 / 3
LCM(17451,17457) = 101547369

Least Common Multiple (LCM) of 17451 and 17457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17451 and 17457. First we will calculate the prime factors of 17451 and 17457.

Prime Factorization of 17451

Prime Factorization of 17457

Now multiplying the highest exponent prime factors to calculate the LCM of 17451 and 17457.

LCM(17451,17457) = 3² × 7¹ × 277¹ × 11¹ × 23²
LCM(17451,17457) = 101547369