What is the Least Common Multiple of 6740 and 6749?

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 6740 and 6749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6740 and 6749, than apply into the LCM equation.

GCF(6740,6749) = 1
LCM(6740,6749) = ( 6740 × 6749) / 1
LCM(6740,6749) = 45488260 / 1
LCM(6740,6749) = 45488260

Least Common Multiple (LCM) of 6740 and 6749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6740 and 6749. First we will calculate the prime factors of 6740 and 6749.

Prime Factorization of 6740

Prime Factorization of 6749

Now multiplying the highest exponent prime factors to calculate the LCM of 6740 and 6749.

LCM(6740,6749) = 2² × 5¹ × 337¹ × 17¹ × 397¹
LCM(6740,6749) = 45488260