What is the Least Common Multiple of 90085 and 90105?

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 90085 and 90105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90085 and 90105, than apply into the LCM equation.

GCF(90085,90105) = 5
LCM(90085,90105) = ( 90085 × 90105) / 5
LCM(90085,90105) = 8117108925 / 5
LCM(90085,90105) = 1623421785

Least Common Multiple (LCM) of 90085 and 90105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90085 and 90105. First we will calculate the prime factors of 90085 and 90105.

Prime Factorization of 90085

Prime Factorization of 90105

Now multiplying the highest exponent prime factors to calculate the LCM of 90085 and 90105.

LCM(90085,90105) = 5¹ × 43¹ × 419¹ × 3¹ × 6007¹
LCM(90085,90105) = 1623421785