What is the Least Common Multiple of 89990 and 90001?

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 89990 and 90001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89990 and 90001, than apply into the LCM equation.

GCF(89990,90001) = 1
LCM(89990,90001) = ( 89990 × 90001) / 1
LCM(89990,90001) = 8099189990 / 1
LCM(89990,90001) = 8099189990

Least Common Multiple (LCM) of 89990 and 90001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89990 and 90001. First we will calculate the prime factors of 89990 and 90001.

Prime Factorization of 89990

Prime Factorization of 90001

Now multiplying the highest exponent prime factors to calculate the LCM of 89990 and 90001.

LCM(89990,90001) = 2¹ × 5¹ × 8999¹ × 90001¹
LCM(89990,90001) = 8099189990