What is the Least Common Multiple of 91324 and 91341?

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 91324 and 91341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91324 and 91341, than apply into the LCM equation.

GCF(91324,91341) = 17
LCM(91324,91341) = ( 91324 × 91341) / 17
LCM(91324,91341) = 8341625484 / 17
LCM(91324,91341) = 490683852

Least Common Multiple (LCM) of 91324 and 91341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91324 and 91341. First we will calculate the prime factors of 91324 and 91341.

Prime Factorization of 91324

Prime Factorization of 91341

Now multiplying the highest exponent prime factors to calculate the LCM of 91324 and 91341.

LCM(91324,91341) = 2² × 17² × 79¹ × 3³ × 199¹
LCM(91324,91341) = 490683852