What is the Least Common Multiple of 90885 and 90893?

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 90885 and 90893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90885 and 90893, than apply into the LCM equation.

GCF(90885,90893) = 1
LCM(90885,90893) = ( 90885 × 90893) / 1
LCM(90885,90893) = 8260810305 / 1
LCM(90885,90893) = 8260810305

Least Common Multiple (LCM) of 90885 and 90893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90885 and 90893. First we will calculate the prime factors of 90885 and 90893.

Prime Factorization of 90885

Prime Factorization of 90893

Now multiplying the highest exponent prime factors to calculate the LCM of 90885 and 90893.

LCM(90885,90893) = 3¹ × 5¹ × 73¹ × 83¹ × 11¹ × 8263¹
LCM(90885,90893) = 8260810305