What is the Least Common Multiple of 48813 and 48825?

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 48813 and 48825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48813 and 48825, than apply into the LCM equation.

GCF(48813,48825) = 3
LCM(48813,48825) = ( 48813 × 48825) / 3
LCM(48813,48825) = 2383294725 / 3
LCM(48813,48825) = 794431575

Least Common Multiple (LCM) of 48813 and 48825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48813 and 48825. First we will calculate the prime factors of 48813 and 48825.

Prime Factorization of 48813

Prime Factorization of 48825

Now multiplying the highest exponent prime factors to calculate the LCM of 48813 and 48825.

LCM(48813,48825) = 3² × 53¹ × 307¹ × 5² × 7¹ × 31¹
LCM(48813,48825) = 794431575