GCF and LCM Calculator Logo

What is the Least Common Multiple of 90911 and 90915?

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 (LCM) of 90911 and 90915 is 8265173565.

LCM(90911,90915) = 8265173565

LCM Calculator and
and

Least Common Multiple of 90911 and 90915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90911 and 90915, than apply into the LCM equation.

GCF(90911,90915) = 1
LCM(90911,90915) = ( 90911 × 90915) / 1
LCM(90911,90915) = 8265173565 / 1
LCM(90911,90915) = 8265173565

Least Common Multiple (LCM) of 90911 and 90915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90911 and 90915. First we will calculate the prime factors of 90911 and 90915.

Prime Factorization of 90911

Prime factors of 90911 are 90911. Prime factorization of 90911 in exponential form is:

90911 = 909111

Prime Factorization of 90915

Prime factors of 90915 are 3, 5, 11, 19, 29. Prime factorization of 90915 in exponential form is:

90915 = 31 × 51 × 111 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 90911 and 90915.

LCM(90911,90915) = 909111 × 31 × 51 × 111 × 191 × 291
LCM(90911,90915) = 8265173565