What is the Least Common Multiple of 91705 and 91724?

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 91705 and 91724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91705 and 91724, than apply into the LCM equation.

GCF(91705,91724) = 1
LCM(91705,91724) = ( 91705 × 91724) / 1
LCM(91705,91724) = 8411549420 / 1
LCM(91705,91724) = 8411549420

Least Common Multiple (LCM) of 91705 and 91724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91705 and 91724. First we will calculate the prime factors of 91705 and 91724.

Prime Factorization of 91705

Prime Factorization of 91724

Now multiplying the highest exponent prime factors to calculate the LCM of 91705 and 91724.

LCM(91705,91724) = 5¹ × 18341¹ × 2² × 23¹ × 997¹
LCM(91705,91724) = 8411549420