What is the Least Common Multiple of 6744 and 6751?

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 6744 and 6751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6744 and 6751, than apply into the LCM equation.

GCF(6744,6751) = 1
LCM(6744,6751) = ( 6744 × 6751) / 1
LCM(6744,6751) = 45528744 / 1
LCM(6744,6751) = 45528744

Least Common Multiple (LCM) of 6744 and 6751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6744 and 6751. First we will calculate the prime factors of 6744 and 6751.

Prime Factorization of 6744

Prime Factorization of 6751

Now multiplying the highest exponent prime factors to calculate the LCM of 6744 and 6751.

LCM(6744,6751) = 2³ × 3¹ × 281¹ × 43¹ × 157¹
LCM(6744,6751) = 45528744