What is the Least Common Multiple of 48874 and 48891?

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 48874 and 48891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48874 and 48891, than apply into the LCM equation.

GCF(48874,48891) = 1
LCM(48874,48891) = ( 48874 × 48891) / 1
LCM(48874,48891) = 2389498734 / 1
LCM(48874,48891) = 2389498734

Least Common Multiple (LCM) of 48874 and 48891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48874 and 48891. First we will calculate the prime factors of 48874 and 48891.

Prime Factorization of 48874

Prime Factorization of 48891

Now multiplying the highest exponent prime factors to calculate the LCM of 48874 and 48891.

LCM(48874,48891) = 2¹ × 7¹ × 3491¹ × 3¹ × 43¹ × 379¹
LCM(48874,48891) = 2389498734