What is the Least Common Multiple of 90909 and 90923?

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 90923 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 90923, than apply into the LCM equation.

GCF(90909,90923) = 7
LCM(90909,90923) = ( 90909 × 90923) / 7
LCM(90909,90923) = 8265719007 / 7
LCM(90909,90923) = 1180817001

Least Common Multiple (LCM) of 90909 and 90923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90909 and 90923. First we will calculate the prime factors of 90909 and 90923.

Prime Factorization of 90909

Prime Factorization of 90923

Now multiplying the highest exponent prime factors to calculate the LCM of 90909 and 90923.

LCM(90909,90923) = 3³ × 7¹ × 13¹ × 37¹ × 31¹ × 419¹
LCM(90909,90923) = 1180817001