What is the Least Common Multiple of 48229 and 48239?

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 48229 and 48239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48229 and 48239, than apply into the LCM equation.

GCF(48229,48239) = 1
LCM(48229,48239) = ( 48229 × 48239) / 1
LCM(48229,48239) = 2326518731 / 1
LCM(48229,48239) = 2326518731

Least Common Multiple (LCM) of 48229 and 48239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48229 and 48239. First we will calculate the prime factors of 48229 and 48239.

Prime Factorization of 48229

Prime Factorization of 48239

Now multiplying the highest exponent prime factors to calculate the LCM of 48229 and 48239.

LCM(48229,48239) = 17¹ × 2837¹ × 48239¹
LCM(48229,48239) = 2326518731