What is the Least Common Multiple of 77859 and 77873?

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 77873 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 77873, than apply into the LCM equation.

GCF(77859,77873) = 1
LCM(77859,77873) = ( 77859 × 77873) / 1
LCM(77859,77873) = 6063113907 / 1
LCM(77859,77873) = 6063113907

Least Common Multiple (LCM) of 77859 and 77873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77859 and 77873. First we will calculate the prime factors of 77859 and 77873.

Prime Factorization of 77859

Prime Factorization of 77873

Now multiplying the highest exponent prime factors to calculate the LCM of 77859 and 77873.

LCM(77859,77873) = 3² × 41¹ × 211¹ × 43¹ × 1811¹
LCM(77859,77873) = 6063113907