What is the Least Common Multiple of 6840 and 6856?

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 6840 and 6856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6840 and 6856, than apply into the LCM equation.

GCF(6840,6856) = 8
LCM(6840,6856) = ( 6840 × 6856) / 8
LCM(6840,6856) = 46895040 / 8
LCM(6840,6856) = 5861880

Least Common Multiple (LCM) of 6840 and 6856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6840 and 6856. First we will calculate the prime factors of 6840 and 6856.

Prime Factorization of 6840

Prime Factorization of 6856

Now multiplying the highest exponent prime factors to calculate the LCM of 6840 and 6856.

LCM(6840,6856) = 2³ × 3² × 5¹ × 19¹ × 857¹
LCM(6840,6856) = 5861880