What is the Least Common Multiple of 48259 and 48269?

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 48259 and 48269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48259 and 48269, than apply into the LCM equation.

GCF(48259,48269) = 1
LCM(48259,48269) = ( 48259 × 48269) / 1
LCM(48259,48269) = 2329413671 / 1
LCM(48259,48269) = 2329413671

Least Common Multiple (LCM) of 48259 and 48269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48259 and 48269. First we will calculate the prime factors of 48259 and 48269.

Prime Factorization of 48259

Prime Factorization of 48269

Now multiplying the highest exponent prime factors to calculate the LCM of 48259 and 48269.

LCM(48259,48269) = 48259¹ × 13¹ × 47¹ × 79¹
LCM(48259,48269) = 2329413671