What is the Least Common Multiple of 90915 and 90930?

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 90915 and 90930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90915 and 90930, than apply into the LCM equation.

GCF(90915,90930) = 15
LCM(90915,90930) = ( 90915 × 90930) / 15
LCM(90915,90930) = 8266900950 / 15
LCM(90915,90930) = 551126730

Least Common Multiple (LCM) of 90915 and 90930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90915 and 90930. First we will calculate the prime factors of 90915 and 90930.

Prime Factorization of 90915

Prime Factorization of 90930

Now multiplying the highest exponent prime factors to calculate the LCM of 90915 and 90930.

LCM(90915,90930) = 3¹ × 5¹ × 11¹ × 19¹ × 29¹ × 2¹ × 7¹ × 433¹
LCM(90915,90930) = 551126730