What is the Least Common Multiple of 48912 and 48931?

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 48912 and 48931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48912 and 48931, than apply into the LCM equation.

GCF(48912,48931) = 1
LCM(48912,48931) = ( 48912 × 48931) / 1
LCM(48912,48931) = 2393313072 / 1
LCM(48912,48931) = 2393313072

Least Common Multiple (LCM) of 48912 and 48931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48912 and 48931. First we will calculate the prime factors of 48912 and 48931.

Prime Factorization of 48912

Prime Factorization of 48931

Now multiplying the highest exponent prime factors to calculate the LCM of 48912 and 48931.

LCM(48912,48931) = 2⁴ × 3¹ × 1019¹ × 167¹ × 293¹
LCM(48912,48931) = 2393313072