What is the Least Common Multiple of 89817 and 89831?

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 89817 and 89831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89817 and 89831, than apply into the LCM equation.

GCF(89817,89831) = 7
LCM(89817,89831) = ( 89817 × 89831) / 7
LCM(89817,89831) = 8068350927 / 7
LCM(89817,89831) = 1152621561

Least Common Multiple (LCM) of 89817 and 89831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89817 and 89831. First we will calculate the prime factors of 89817 and 89831.

Prime Factorization of 89817

Prime Factorization of 89831

Now multiplying the highest exponent prime factors to calculate the LCM of 89817 and 89831.

LCM(89817,89831) = 3¹ × 7² × 13¹ × 47¹ × 41¹ × 313¹
LCM(89817,89831) = 1152621561