What is the Least Common Multiple of 90020 and 90035?

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 90020 and 90035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90020 and 90035, than apply into the LCM equation.

GCF(90020,90035) = 5
LCM(90020,90035) = ( 90020 × 90035) / 5
LCM(90020,90035) = 8104950700 / 5
LCM(90020,90035) = 1620990140

Least Common Multiple (LCM) of 90020 and 90035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90020 and 90035. First we will calculate the prime factors of 90020 and 90035.

Prime Factorization of 90020

Prime Factorization of 90035

Now multiplying the highest exponent prime factors to calculate the LCM of 90020 and 90035.

LCM(90020,90035) = 2² × 5¹ × 7¹ × 643¹ × 11¹ × 1637¹
LCM(90020,90035) = 1620990140