What is the Least Common Multiple of 90796 and 90809?

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 90796 and 90809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90796 and 90809, than apply into the LCM equation.

GCF(90796,90809) = 1
LCM(90796,90809) = ( 90796 × 90809) / 1
LCM(90796,90809) = 8245093964 / 1
LCM(90796,90809) = 8245093964

Least Common Multiple (LCM) of 90796 and 90809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90796 and 90809. First we will calculate the prime factors of 90796 and 90809.

Prime Factorization of 90796

Prime Factorization of 90809

Now multiplying the highest exponent prime factors to calculate the LCM of 90796 and 90809.

LCM(90796,90809) = 2² × 22699¹ × 71¹ × 1279¹
LCM(90796,90809) = 8245093964