What is the Least Common Multiple of 90898 and 90912?

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 90898 and 90912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90898 and 90912, than apply into the LCM equation.

GCF(90898,90912) = 2
LCM(90898,90912) = ( 90898 × 90912) / 2
LCM(90898,90912) = 8263718976 / 2
LCM(90898,90912) = 4131859488

Least Common Multiple (LCM) of 90898 and 90912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90898 and 90912. First we will calculate the prime factors of 90898 and 90912.

Prime Factorization of 90898

Prime Factorization of 90912

Now multiplying the highest exponent prime factors to calculate the LCM of 90898 and 90912.

LCM(90898,90912) = 2⁵ × 47¹ × 967¹ × 3¹ × 947¹
LCM(90898,90912) = 4131859488