What is the Least Common Multiple of 48496 and 48501?

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 48496 and 48501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48496 and 48501, than apply into the LCM equation.

GCF(48496,48501) = 1
LCM(48496,48501) = ( 48496 × 48501) / 1
LCM(48496,48501) = 2352104496 / 1
LCM(48496,48501) = 2352104496

Least Common Multiple (LCM) of 48496 and 48501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48496 and 48501. First we will calculate the prime factors of 48496 and 48501.

Prime Factorization of 48496

Prime Factorization of 48501

Now multiplying the highest exponent prime factors to calculate the LCM of 48496 and 48501.

LCM(48496,48501) = 2⁴ × 7¹ × 433¹ × 3² × 17¹ × 317¹
LCM(48496,48501) = 2352104496