What is the Least Common Multiple of 6744 and 6754?

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 6754 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 6754, than apply into the LCM equation.

GCF(6744,6754) = 2
LCM(6744,6754) = ( 6744 × 6754) / 2
LCM(6744,6754) = 45548976 / 2
LCM(6744,6754) = 22774488

Least Common Multiple (LCM) of 6744 and 6754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6744 and 6754. First we will calculate the prime factors of 6744 and 6754.

Prime Factorization of 6744

Prime Factorization of 6754

Now multiplying the highest exponent prime factors to calculate the LCM of 6744 and 6754.

LCM(6744,6754) = 2³ × 3¹ × 281¹ × 11¹ × 307¹
LCM(6744,6754) = 22774488