What is the Least Common Multiple of 77889 and 77903?

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 77889 and 77903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77889 and 77903, than apply into the LCM equation.

GCF(77889,77903) = 7
LCM(77889,77903) = ( 77889 × 77903) / 7
LCM(77889,77903) = 6067786767 / 7
LCM(77889,77903) = 866826681

Least Common Multiple (LCM) of 77889 and 77903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77889 and 77903. First we will calculate the prime factors of 77889 and 77903.

Prime Factorization of 77889

Prime Factorization of 77903

Now multiplying the highest exponent prime factors to calculate the LCM of 77889 and 77903.

LCM(77889,77903) = 3¹ × 7¹ × 3709¹ × 31¹ × 359¹
LCM(77889,77903) = 866826681