What is the Least Common Multiple of 77859 and 77877?

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 77859 and 77877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77859 and 77877, than apply into the LCM equation.

GCF(77859,77877) = 9
LCM(77859,77877) = ( 77859 × 77877) / 9
LCM(77859,77877) = 6063425343 / 9
LCM(77859,77877) = 673713927

Least Common Multiple (LCM) of 77859 and 77877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77859 and 77877. First we will calculate the prime factors of 77859 and 77877.

Prime Factorization of 77859

Prime Factorization of 77877

Now multiplying the highest exponent prime factors to calculate the LCM of 77859 and 77877.

LCM(77859,77877) = 3² × 41¹ × 211¹ × 17¹ × 509¹
LCM(77859,77877) = 673713927