What is the Least Common Multiple of 90909 and 90927?

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 90909 and 90927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90909 and 90927, than apply into the LCM equation.

GCF(90909,90927) = 9
LCM(90909,90927) = ( 90909 × 90927) / 9
LCM(90909,90927) = 8266082643 / 9
LCM(90909,90927) = 918453627

Least Common Multiple (LCM) of 90909 and 90927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90909 and 90927. First we will calculate the prime factors of 90909 and 90927.

Prime Factorization of 90909

Prime Factorization of 90927

Now multiplying the highest exponent prime factors to calculate the LCM of 90909 and 90927.

LCM(90909,90927) = 3³ × 7¹ × 13¹ × 37¹ × 10103¹
LCM(90909,90927) = 918453627