What is the Least Common Multiple of 48509 and 48517?

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 48509 and 48517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48509 and 48517, than apply into the LCM equation.

GCF(48509,48517) = 1
LCM(48509,48517) = ( 48509 × 48517) / 1
LCM(48509,48517) = 2353511153 / 1
LCM(48509,48517) = 2353511153

Least Common Multiple (LCM) of 48509 and 48517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48509 and 48517. First we will calculate the prime factors of 48509 and 48517.

Prime Factorization of 48509

Prime Factorization of 48517

Now multiplying the highest exponent prime factors to calculate the LCM of 48509 and 48517.

LCM(48509,48517) = 179¹ × 271¹ × 7¹ × 29¹ × 239¹
LCM(48509,48517) = 2353511153