What is the Least Common Multiple of 48849 and 48867?

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 48867 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 48867, than apply into the LCM equation.

GCF(48849,48867) = 3
LCM(48849,48867) = ( 48849 × 48867) / 3
LCM(48849,48867) = 2387104083 / 3
LCM(48849,48867) = 795701361

Least Common Multiple (LCM) of 48849 and 48867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48849 and 48867. First we will calculate the prime factors of 48849 and 48867.

Prime Factorization of 48849

Prime Factorization of 48867

Now multiplying the highest exponent prime factors to calculate the LCM of 48849 and 48867.

LCM(48849,48867) = 3¹ × 19¹ × 857¹ × 7¹ × 13¹ × 179¹
LCM(48849,48867) = 795701361