What is the Least Common Multiple of 43253 and 43259?

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 43253 and 43259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43253 and 43259, than apply into the LCM equation.

GCF(43253,43259) = 1
LCM(43253,43259) = ( 43253 × 43259) / 1
LCM(43253,43259) = 1871081527 / 1
LCM(43253,43259) = 1871081527

Least Common Multiple (LCM) of 43253 and 43259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43253 and 43259. First we will calculate the prime factors of 43253 and 43259.

Prime Factorization of 43253

Prime Factorization of 43259

Now multiplying the highest exponent prime factors to calculate the LCM of 43253 and 43259.

LCM(43253,43259) = 7¹ × 37¹ × 167¹ × 181¹ × 239¹
LCM(43253,43259) = 1871081527