What is the Least Common Multiple of 91239 and 91259?

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 91239 and 91259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91239 and 91259, than apply into the LCM equation.

GCF(91239,91259) = 1
LCM(91239,91259) = ( 91239 × 91259) / 1
LCM(91239,91259) = 8326379901 / 1
LCM(91239,91259) = 8326379901

Least Common Multiple (LCM) of 91239 and 91259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91239 and 91259. First we will calculate the prime factors of 91239 and 91259.

Prime Factorization of 91239

Prime Factorization of 91259

Now multiplying the highest exponent prime factors to calculate the LCM of 91239 and 91259.

LCM(91239,91259) = 3¹ × 17¹ × 1789¹ × 7¹ × 13037¹
LCM(91239,91259) = 8326379901