What is the Least Common Multiple of 48249 and 48259?

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 48249 and 48259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48249 and 48259, than apply into the LCM equation.

GCF(48249,48259) = 1
LCM(48249,48259) = ( 48249 × 48259) / 1
LCM(48249,48259) = 2328448491 / 1
LCM(48249,48259) = 2328448491

Least Common Multiple (LCM) of 48249 and 48259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48249 and 48259. First we will calculate the prime factors of 48249 and 48259.

Prime Factorization of 48249

Prime Factorization of 48259

Now multiplying the highest exponent prime factors to calculate the LCM of 48249 and 48259.

LCM(48249,48259) = 3³ × 1787¹ × 48259¹
LCM(48249,48259) = 2328448491