What is the Least Common Multiple of 91335 and 91355?

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 91335 and 91355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91335 and 91355, than apply into the LCM equation.

GCF(91335,91355) = 5
LCM(91335,91355) = ( 91335 × 91355) / 5
LCM(91335,91355) = 8343908925 / 5
LCM(91335,91355) = 1668781785

Least Common Multiple (LCM) of 91335 and 91355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91335 and 91355. First we will calculate the prime factors of 91335 and 91355.

Prime Factorization of 91335

Prime Factorization of 91355

Now multiplying the highest exponent prime factors to calculate the LCM of 91335 and 91355.

LCM(91335,91355) = 3¹ × 5¹ × 6089¹ × 11² × 151¹
LCM(91335,91355) = 1668781785