What is the Least Common Multiple of 48825 and 48829?

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 48825 and 48829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48825 and 48829, than apply into the LCM equation.

GCF(48825,48829) = 1
LCM(48825,48829) = ( 48825 × 48829) / 1
LCM(48825,48829) = 2384075925 / 1
LCM(48825,48829) = 2384075925

Least Common Multiple (LCM) of 48825 and 48829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48825 and 48829. First we will calculate the prime factors of 48825 and 48829.

Prime Factorization of 48825

Prime Factorization of 48829

Now multiplying the highest exponent prime factors to calculate the LCM of 48825 and 48829.

LCM(48825,48829) = 3² × 5² × 7¹ × 31¹ × 11¹ × 23¹ × 193¹
LCM(48825,48829) = 2384075925