What is the Least Common Multiple of 48501 and 48516?

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 48516 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 48516, than apply into the LCM equation.

GCF(48501,48516) = 3
LCM(48501,48516) = ( 48501 × 48516) / 3
LCM(48501,48516) = 2353074516 / 3
LCM(48501,48516) = 784358172

Least Common Multiple (LCM) of 48501 and 48516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48501 and 48516. First we will calculate the prime factors of 48501 and 48516.

Prime Factorization of 48501

Prime Factorization of 48516

Now multiplying the highest exponent prime factors to calculate the LCM of 48501 and 48516.

LCM(48501,48516) = 3² × 17¹ × 317¹ × 2² × 13¹ × 311¹
LCM(48501,48516) = 784358172