What is the Least Common Multiple of 91409 and 91426?

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 91409 and 91426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91409 and 91426, than apply into the LCM equation.

GCF(91409,91426) = 17
LCM(91409,91426) = ( 91409 × 91426) / 17
LCM(91409,91426) = 8357159234 / 17
LCM(91409,91426) = 491597602

Least Common Multiple (LCM) of 91409 and 91426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91409 and 91426. First we will calculate the prime factors of 91409 and 91426.

Prime Factorization of 91409

Prime Factorization of 91426

Now multiplying the highest exponent prime factors to calculate the LCM of 91409 and 91426.

LCM(91409,91426) = 17¹ × 19¹ × 283¹ × 2¹ × 2689¹
LCM(91409,91426) = 491597602