What is the Least Common Multiple of 48719 and 48731?

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 48719 and 48731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48719 and 48731, than apply into the LCM equation.

GCF(48719,48731) = 1
LCM(48719,48731) = ( 48719 × 48731) / 1
LCM(48719,48731) = 2374125589 / 1
LCM(48719,48731) = 2374125589

Least Common Multiple (LCM) of 48719 and 48731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48719 and 48731. First we will calculate the prime factors of 48719 and 48731.

Prime Factorization of 48719

Prime Factorization of 48731

Now multiplying the highest exponent prime factors to calculate the LCM of 48719 and 48731.

LCM(48719,48731) = 11¹ × 43¹ × 103¹ × 48731¹
LCM(48719,48731) = 2374125589