What is the Least Common Multiple of 6745 and 6761?

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 6761 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 6761, than apply into the LCM equation.

GCF(6745,6761) = 1
LCM(6745,6761) = ( 6745 × 6761) / 1
LCM(6745,6761) = 45602945 / 1
LCM(6745,6761) = 45602945

Least Common Multiple (LCM) of 6745 and 6761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6745 and 6761. First we will calculate the prime factors of 6745 and 6761.

Prime Factorization of 6745

Prime Factorization of 6761

Now multiplying the highest exponent prime factors to calculate the LCM of 6745 and 6761.

LCM(6745,6761) = 5¹ × 19¹ × 71¹ × 6761¹
LCM(6745,6761) = 45602945