What is the Least Common Multiple of 91449 and 91461?

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 91449 and 91461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91449 and 91461, than apply into the LCM equation.

GCF(91449,91461) = 3
LCM(91449,91461) = ( 91449 × 91461) / 3
LCM(91449,91461) = 8364016989 / 3
LCM(91449,91461) = 2788005663

Least Common Multiple (LCM) of 91449 and 91461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91449 and 91461. First we will calculate the prime factors of 91449 and 91461.

Prime Factorization of 91449

Prime Factorization of 91461

Now multiplying the highest exponent prime factors to calculate the LCM of 91449 and 91461.

LCM(91449,91461) = 3⁴ × 1129¹ × 43¹ × 709¹
LCM(91449,91461) = 2788005663