What is the Least Common Multiple of 6760 and 6779?

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 6760 and 6779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6760 and 6779, than apply into the LCM equation.

GCF(6760,6779) = 1
LCM(6760,6779) = ( 6760 × 6779) / 1
LCM(6760,6779) = 45826040 / 1
LCM(6760,6779) = 45826040

Least Common Multiple (LCM) of 6760 and 6779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6760 and 6779. First we will calculate the prime factors of 6760 and 6779.

Prime Factorization of 6760

Prime Factorization of 6779

Now multiplying the highest exponent prime factors to calculate the LCM of 6760 and 6779.

LCM(6760,6779) = 2³ × 5¹ × 13² × 6779¹
LCM(6760,6779) = 45826040