What is the Least Common Multiple of 91295 and 91303?

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 91295 and 91303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91295 and 91303, than apply into the LCM equation.

GCF(91295,91303) = 1
LCM(91295,91303) = ( 91295 × 91303) / 1
LCM(91295,91303) = 8335507385 / 1
LCM(91295,91303) = 8335507385

Least Common Multiple (LCM) of 91295 and 91303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91295 and 91303. First we will calculate the prime factors of 91295 and 91303.

Prime Factorization of 91295

Prime Factorization of 91303

Now multiplying the highest exponent prime factors to calculate the LCM of 91295 and 91303.

LCM(91295,91303) = 5¹ × 19¹ × 31² × 91303¹
LCM(91295,91303) = 8335507385