What is the Least Common Multiple of 48873 and 48887?

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 48873 and 48887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48873 and 48887, than apply into the LCM equation.

GCF(48873,48887) = 1
LCM(48873,48887) = ( 48873 × 48887) / 1
LCM(48873,48887) = 2389254351 / 1
LCM(48873,48887) = 2389254351

Least Common Multiple (LCM) of 48873 and 48887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48873 and 48887. First we will calculate the prime factors of 48873 and 48887.

Prime Factorization of 48873

Prime Factorization of 48887

Now multiplying the highest exponent prime factors to calculate the LCM of 48873 and 48887.

LCM(48873,48887) = 3¹ × 11¹ × 1481¹ × 19¹ × 31¹ × 83¹
LCM(48873,48887) = 2389254351