What is the Least Common Multiple of 17748 and 17752?

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 17748 and 17752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17748 and 17752, than apply into the LCM equation.

GCF(17748,17752) = 4
LCM(17748,17752) = ( 17748 × 17752) / 4
LCM(17748,17752) = 315062496 / 4
LCM(17748,17752) = 78765624

Least Common Multiple (LCM) of 17748 and 17752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17748 and 17752. First we will calculate the prime factors of 17748 and 17752.

Prime Factorization of 17748

Prime Factorization of 17752

Now multiplying the highest exponent prime factors to calculate the LCM of 17748 and 17752.

LCM(17748,17752) = 2³ × 3² × 17¹ × 29¹ × 7¹ × 317¹
LCM(17748,17752) = 78765624