What is the Least Common Multiple of 48795 and 48812?

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 48795 and 48812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48795 and 48812, than apply into the LCM equation.

GCF(48795,48812) = 1
LCM(48795,48812) = ( 48795 × 48812) / 1
LCM(48795,48812) = 2381781540 / 1
LCM(48795,48812) = 2381781540

Least Common Multiple (LCM) of 48795 and 48812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48795 and 48812. First we will calculate the prime factors of 48795 and 48812.

Prime Factorization of 48795

Prime Factorization of 48812

Now multiplying the highest exponent prime factors to calculate the LCM of 48795 and 48812.

LCM(48795,48812) = 3¹ × 5¹ × 3253¹ × 2² × 12203¹
LCM(48795,48812) = 2381781540