What is the Least Common Multiple of 90270 and 90275?

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 90270 and 90275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90270 and 90275, than apply into the LCM equation.

GCF(90270,90275) = 5
LCM(90270,90275) = ( 90270 × 90275) / 5
LCM(90270,90275) = 8149124250 / 5
LCM(90270,90275) = 1629824850

Least Common Multiple (LCM) of 90270 and 90275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90270 and 90275. First we will calculate the prime factors of 90270 and 90275.

Prime Factorization of 90270

Prime Factorization of 90275

Now multiplying the highest exponent prime factors to calculate the LCM of 90270 and 90275.

LCM(90270,90275) = 2¹ × 3² × 5² × 17¹ × 59¹ × 23¹ × 157¹
LCM(90270,90275) = 1629824850