What is the Least Common Multiple of 6749 and 6766?

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 6749 and 6766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6749 and 6766, than apply into the LCM equation.

GCF(6749,6766) = 17
LCM(6749,6766) = ( 6749 × 6766) / 17
LCM(6749,6766) = 45663734 / 17
LCM(6749,6766) = 2686102

Least Common Multiple (LCM) of 6749 and 6766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6749 and 6766. First we will calculate the prime factors of 6749 and 6766.

Prime Factorization of 6749

Prime Factorization of 6766

Now multiplying the highest exponent prime factors to calculate the LCM of 6749 and 6766.

LCM(6749,6766) = 17¹ × 397¹ × 2¹ × 199¹
LCM(6749,6766) = 2686102