What is the Least Common Multiple of 91360 and 91366?

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 91366 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 91366, than apply into the LCM equation.

GCF(91360,91366) = 2
LCM(91360,91366) = ( 91360 × 91366) / 2
LCM(91360,91366) = 8347197760 / 2
LCM(91360,91366) = 4173598880

Least Common Multiple (LCM) of 91360 and 91366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91360 and 91366. First we will calculate the prime factors of 91360 and 91366.

Prime Factorization of 91360

Prime Factorization of 91366

Now multiplying the highest exponent prime factors to calculate the LCM of 91360 and 91366.

LCM(91360,91366) = 2⁵ × 5¹ × 571¹ × 11¹ × 4153¹
LCM(91360,91366) = 4173598880