What is the Least Common Multiple of 48849 and 48855?

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 48849 and 48855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48849 and 48855, than apply into the LCM equation.

GCF(48849,48855) = 3
LCM(48849,48855) = ( 48849 × 48855) / 3
LCM(48849,48855) = 2386517895 / 3
LCM(48849,48855) = 795505965

Least Common Multiple (LCM) of 48849 and 48855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48849 and 48855. First we will calculate the prime factors of 48849 and 48855.

Prime Factorization of 48849

Prime Factorization of 48855

Now multiplying the highest exponent prime factors to calculate the LCM of 48849 and 48855.

LCM(48849,48855) = 3¹ × 19¹ × 857¹ × 5¹ × 3257¹
LCM(48849,48855) = 795505965