What is the Least Common Multiple of 77891 and 77897?

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 77891 and 77897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77891 and 77897, than apply into the LCM equation.

GCF(77891,77897) = 1
LCM(77891,77897) = ( 77891 × 77897) / 1
LCM(77891,77897) = 6067475227 / 1
LCM(77891,77897) = 6067475227

Least Common Multiple (LCM) of 77891 and 77897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77891 and 77897. First we will calculate the prime factors of 77891 and 77897.

Prime Factorization of 77891

Prime Factorization of 77897

Now multiplying the highest exponent prime factors to calculate the LCM of 77891 and 77897.

LCM(77891,77897) = 11¹ × 73¹ × 97¹ × 61¹ × 1277¹
LCM(77891,77897) = 6067475227