What is the Least Common Multiple of 90006 and 90025?

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 90006 and 90025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90006 and 90025, than apply into the LCM equation.

GCF(90006,90025) = 1
LCM(90006,90025) = ( 90006 × 90025) / 1
LCM(90006,90025) = 8102790150 / 1
LCM(90006,90025) = 8102790150

Least Common Multiple (LCM) of 90006 and 90025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90006 and 90025. First we will calculate the prime factors of 90006 and 90025.

Prime Factorization of 90006

Prime Factorization of 90025

Now multiplying the highest exponent prime factors to calculate the LCM of 90006 and 90025.

LCM(90006,90025) = 2¹ × 3¹ × 7¹ × 2143¹ × 5² × 13¹ × 277¹
LCM(90006,90025) = 8102790150