What is the Least Common Multiple of 77889 and 77893?

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 77893 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 77893, than apply into the LCM equation.

GCF(77889,77893) = 1
LCM(77889,77893) = ( 77889 × 77893) / 1
LCM(77889,77893) = 6067007877 / 1
LCM(77889,77893) = 6067007877

Least Common Multiple (LCM) of 77889 and 77893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77889 and 77893. First we will calculate the prime factors of 77889 and 77893.

Prime Factorization of 77889

Prime Factorization of 77893

Now multiplying the highest exponent prime factors to calculate the LCM of 77889 and 77893.

LCM(77889,77893) = 3¹ × 7¹ × 3709¹ × 77893¹
LCM(77889,77893) = 6067007877