What is the Least Common Multiple of 91585 and 91601?

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 91585 and 91601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91585 and 91601, than apply into the LCM equation.

GCF(91585,91601) = 1
LCM(91585,91601) = ( 91585 × 91601) / 1
LCM(91585,91601) = 8389277585 / 1
LCM(91585,91601) = 8389277585

Least Common Multiple (LCM) of 91585 and 91601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91585 and 91601. First we will calculate the prime factors of 91585 and 91601.

Prime Factorization of 91585

Prime Factorization of 91601

Now multiplying the highest exponent prime factors to calculate the LCM of 91585 and 91601.

LCM(91585,91601) = 5¹ × 13¹ × 1409¹ × 139¹ × 659¹
LCM(91585,91601) = 8389277585