What is the Least Common Multiple of 48269 and 48281?

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 48269 and 48281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48269 and 48281, than apply into the LCM equation.

GCF(48269,48281) = 1
LCM(48269,48281) = ( 48269 × 48281) / 1
LCM(48269,48281) = 2330475589 / 1
LCM(48269,48281) = 2330475589

Least Common Multiple (LCM) of 48269 and 48281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48269 and 48281. First we will calculate the prime factors of 48269 and 48281.

Prime Factorization of 48269

Prime Factorization of 48281

Now multiplying the highest exponent prime factors to calculate the LCM of 48269 and 48281.

LCM(48269,48281) = 13¹ × 47¹ × 79¹ × 48281¹
LCM(48269,48281) = 2330475589