What is the Least Common Multiple of 48508 and 48514?

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 48508 and 48514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48508 and 48514, than apply into the LCM equation.

GCF(48508,48514) = 2
LCM(48508,48514) = ( 48508 × 48514) / 2
LCM(48508,48514) = 2353317112 / 2
LCM(48508,48514) = 1176658556

Least Common Multiple (LCM) of 48508 and 48514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48508 and 48514. First we will calculate the prime factors of 48508 and 48514.

Prime Factorization of 48508

Prime Factorization of 48514

Now multiplying the highest exponent prime factors to calculate the LCM of 48508 and 48514.

LCM(48508,48514) = 2² × 67¹ × 181¹ × 127¹ × 191¹
LCM(48508,48514) = 1176658556