What is the Least Common Multiple of 6840 and 6849?

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 6849 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 6849, than apply into the LCM equation.

GCF(6840,6849) = 9
LCM(6840,6849) = ( 6840 × 6849) / 9
LCM(6840,6849) = 46847160 / 9
LCM(6840,6849) = 5205240

Least Common Multiple (LCM) of 6840 and 6849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6840 and 6849. First we will calculate the prime factors of 6840 and 6849.

Prime Factorization of 6840

Prime Factorization of 6849

Now multiplying the highest exponent prime factors to calculate the LCM of 6840 and 6849.

LCM(6840,6849) = 2³ × 3² × 5¹ × 19¹ × 761¹
LCM(6840,6849) = 5205240