What is the Least Common Multiple of 90912 and 90919?

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 90912 and 90919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90912 and 90919, than apply into the LCM equation.

GCF(90912,90919) = 1
LCM(90912,90919) = ( 90912 × 90919) / 1
LCM(90912,90919) = 8265628128 / 1
LCM(90912,90919) = 8265628128

Least Common Multiple (LCM) of 90912 and 90919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90912 and 90919. First we will calculate the prime factors of 90912 and 90919.

Prime Factorization of 90912

Prime Factorization of 90919

Now multiplying the highest exponent prime factors to calculate the LCM of 90912 and 90919.

LCM(90912,90919) = 2⁵ × 3¹ × 947¹ × 23¹ × 59¹ × 67¹
LCM(90912,90919) = 8265628128