What is the Least Common Multiple of 77889 and 77895?

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 77895 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 77895, than apply into the LCM equation.

GCF(77889,77895) = 3
LCM(77889,77895) = ( 77889 × 77895) / 3
LCM(77889,77895) = 6067163655 / 3
LCM(77889,77895) = 2022387885

Least Common Multiple (LCM) of 77889 and 77895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77889 and 77895. First we will calculate the prime factors of 77889 and 77895.

Prime Factorization of 77889

Prime Factorization of 77895

Now multiplying the highest exponent prime factors to calculate the LCM of 77889 and 77895.

LCM(77889,77895) = 3³ × 7¹ × 3709¹ × 5¹ × 577¹
LCM(77889,77895) = 2022387885