What is the Least Common Multiple of 48755 and 48775?

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 48755 and 48775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48755 and 48775, than apply into the LCM equation.

GCF(48755,48775) = 5
LCM(48755,48775) = ( 48755 × 48775) / 5
LCM(48755,48775) = 2378025125 / 5
LCM(48755,48775) = 475605025

Least Common Multiple (LCM) of 48755 and 48775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48755 and 48775. First we will calculate the prime factors of 48755 and 48775.

Prime Factorization of 48755

Prime Factorization of 48775

Now multiplying the highest exponent prime factors to calculate the LCM of 48755 and 48775.

LCM(48755,48775) = 5² × 7² × 199¹ × 1951¹
LCM(48755,48775) = 475605025