What is the Least Common Multiple of 17752 and 17771?

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 17752 and 17771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17752 and 17771, than apply into the LCM equation.

GCF(17752,17771) = 1
LCM(17752,17771) = ( 17752 × 17771) / 1
LCM(17752,17771) = 315470792 / 1
LCM(17752,17771) = 315470792

Least Common Multiple (LCM) of 17752 and 17771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17752 and 17771. First we will calculate the prime factors of 17752 and 17771.

Prime Factorization of 17752

Prime Factorization of 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 17752 and 17771.

LCM(17752,17771) = 2³ × 7¹ × 317¹ × 13¹ × 1367¹
LCM(17752,17771) = 315470792