What is the Least Common Multiple of 90869 and 90877?

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 90869 and 90877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90869 and 90877, than apply into the LCM equation.

GCF(90869,90877) = 1
LCM(90869,90877) = ( 90869 × 90877) / 1
LCM(90869,90877) = 8257902113 / 1
LCM(90869,90877) = 8257902113

Least Common Multiple (LCM) of 90869 and 90877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90869 and 90877. First we will calculate the prime factors of 90869 and 90877.

Prime Factorization of 90869

Prime Factorization of 90877

Now multiplying the highest exponent prime factors to calculate the LCM of 90869 and 90877.

LCM(90869,90877) = 89¹ × 1021¹ × 19¹ × 4783¹
LCM(90869,90877) = 8257902113