What is the Least Common Multiple of 90261 and 90270?

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 90261 and 90270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90261 and 90270, than apply into the LCM equation.

GCF(90261,90270) = 9
LCM(90261,90270) = ( 90261 × 90270) / 9
LCM(90261,90270) = 8147860470 / 9
LCM(90261,90270) = 905317830

Least Common Multiple (LCM) of 90261 and 90270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90261 and 90270. First we will calculate the prime factors of 90261 and 90270.

Prime Factorization of 90261

Prime Factorization of 90270

Now multiplying the highest exponent prime factors to calculate the LCM of 90261 and 90270.

LCM(90261,90270) = 3³ × 3343¹ × 2¹ × 5¹ × 17¹ × 59¹
LCM(90261,90270) = 905317830