What is the Least Common Multiple of 90858 and 90876?

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 90858 and 90876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90858 and 90876, than apply into the LCM equation.

GCF(90858,90876) = 6
LCM(90858,90876) = ( 90858 × 90876) / 6
LCM(90858,90876) = 8256811608 / 6
LCM(90858,90876) = 1376135268

Least Common Multiple (LCM) of 90858 and 90876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90858 and 90876. First we will calculate the prime factors of 90858 and 90876.

Prime Factorization of 90858

Prime Factorization of 90876

Now multiplying the highest exponent prime factors to calculate the LCM of 90858 and 90876.

LCM(90858,90876) = 2² × 3¹ × 19¹ × 797¹ × 7573¹
LCM(90858,90876) = 1376135268