What is the Least Common Multiple of 76861 and 76879?

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 76861 and 76879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76861 and 76879, than apply into the LCM equation.

GCF(76861,76879) = 1
LCM(76861,76879) = ( 76861 × 76879) / 1
LCM(76861,76879) = 5908996819 / 1
LCM(76861,76879) = 5908996819

Least Common Multiple (LCM) of 76861 and 76879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76861 and 76879. First we will calculate the prime factors of 76861 and 76879.

Prime Factorization of 76861

Prime Factorization of 76879

Now multiplying the highest exponent prime factors to calculate the LCM of 76861 and 76879.

LCM(76861,76879) = 101¹ × 761¹ × 11¹ × 29¹ × 241¹
LCM(76861,76879) = 5908996819