What is the Least Common Multiple of 91360 and 91367?

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 91360 and 91367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91360 and 91367, than apply into the LCM equation.

GCF(91360,91367) = 1
LCM(91360,91367) = ( 91360 × 91367) / 1
LCM(91360,91367) = 8347289120 / 1
LCM(91360,91367) = 8347289120

Least Common Multiple (LCM) of 91360 and 91367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91360 and 91367. First we will calculate the prime factors of 91360 and 91367.

Prime Factorization of 91360

Prime Factorization of 91367

Now multiplying the highest exponent prime factors to calculate the LCM of 91360 and 91367.

LCM(91360,91367) = 2⁵ × 5¹ × 571¹ × 91367¹
LCM(91360,91367) = 8347289120