What is the Least Common Multiple of 91586 and 91598?

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 91586 and 91598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91586 and 91598, than apply into the LCM equation.

GCF(91586,91598) = 2
LCM(91586,91598) = ( 91586 × 91598) / 2
LCM(91586,91598) = 8389094428 / 2
LCM(91586,91598) = 4194547214

Least Common Multiple (LCM) of 91586 and 91598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91586 and 91598. First we will calculate the prime factors of 91586 and 91598.

Prime Factorization of 91586

Prime Factorization of 91598

Now multiplying the highest exponent prime factors to calculate the LCM of 91586 and 91598.

LCM(91586,91598) = 2¹ × 11¹ × 23¹ × 181¹ × 13² × 271¹
LCM(91586,91598) = 4194547214