What is the Least Common Multiple of 48501 and 48513?

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 48501 and 48513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48501 and 48513, than apply into the LCM equation.

GCF(48501,48513) = 3
LCM(48501,48513) = ( 48501 × 48513) / 3
LCM(48501,48513) = 2352929013 / 3
LCM(48501,48513) = 784309671

Least Common Multiple (LCM) of 48501 and 48513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48501 and 48513. First we will calculate the prime factors of 48501 and 48513.

Prime Factorization of 48501

Prime Factorization of 48513

Now multiplying the highest exponent prime factors to calculate the LCM of 48501 and 48513.

LCM(48501,48513) = 3² × 17¹ × 317¹ × 103¹ × 157¹
LCM(48501,48513) = 784309671