What is the Least Common Multiple of 6745 and 6760?

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 6745 and 6760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6745 and 6760, than apply into the LCM equation.

GCF(6745,6760) = 5
LCM(6745,6760) = ( 6745 × 6760) / 5
LCM(6745,6760) = 45596200 / 5
LCM(6745,6760) = 9119240

Least Common Multiple (LCM) of 6745 and 6760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6745 and 6760. First we will calculate the prime factors of 6745 and 6760.

Prime Factorization of 6745

Prime Factorization of 6760

Now multiplying the highest exponent prime factors to calculate the LCM of 6745 and 6760.

LCM(6745,6760) = 5¹ × 19¹ × 71¹ × 2³ × 13²
LCM(6745,6760) = 9119240