What is the Least Common Multiple of 90255 and 90260?

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 90255 and 90260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90255 and 90260, than apply into the LCM equation.

GCF(90255,90260) = 5
LCM(90255,90260) = ( 90255 × 90260) / 5
LCM(90255,90260) = 8146416300 / 5
LCM(90255,90260) = 1629283260

Least Common Multiple (LCM) of 90255 and 90260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90255 and 90260. First we will calculate the prime factors of 90255 and 90260.

Prime Factorization of 90255

Prime Factorization of 90260

Now multiplying the highest exponent prime factors to calculate the LCM of 90255 and 90260.

LCM(90255,90260) = 3¹ × 5¹ × 11¹ × 547¹ × 2² × 4513¹
LCM(90255,90260) = 1629283260