What is the Least Common Multiple of 76889 and 76897?

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 76889 and 76897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76889 and 76897, than apply into the LCM equation.

GCF(76889,76897) = 1
LCM(76889,76897) = ( 76889 × 76897) / 1
LCM(76889,76897) = 5912533433 / 1
LCM(76889,76897) = 5912533433

Least Common Multiple (LCM) of 76889 and 76897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76889 and 76897. First we will calculate the prime factors of 76889 and 76897.

Prime Factorization of 76889

Prime Factorization of 76897

Now multiplying the highest exponent prime factors to calculate the LCM of 76889 and 76897.

LCM(76889,76897) = 23¹ × 3343¹ × 131¹ × 587¹
LCM(76889,76897) = 5912533433