What is the Least Common Multiple of 48708 and 48717?

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 48708 and 48717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48708 and 48717, than apply into the LCM equation.

GCF(48708,48717) = 9
LCM(48708,48717) = ( 48708 × 48717) / 9
LCM(48708,48717) = 2372907636 / 9
LCM(48708,48717) = 263656404

Least Common Multiple (LCM) of 48708 and 48717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48708 and 48717. First we will calculate the prime factors of 48708 and 48717.

Prime Factorization of 48708

Prime Factorization of 48717

Now multiplying the highest exponent prime factors to calculate the LCM of 48708 and 48717.

LCM(48708,48717) = 2² × 3³ × 11¹ × 41¹ × 5413¹
LCM(48708,48717) = 263656404