What is the Least Common Multiple of 10749 and 10754?

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 10749 and 10754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10749 and 10754, than apply into the LCM equation.

GCF(10749,10754) = 1
LCM(10749,10754) = ( 10749 × 10754) / 1
LCM(10749,10754) = 115594746 / 1
LCM(10749,10754) = 115594746

Least Common Multiple (LCM) of 10749 and 10754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10749 and 10754. First we will calculate the prime factors of 10749 and 10754.

Prime Factorization of 10749

Prime Factorization of 10754

Now multiplying the highest exponent prime factors to calculate the LCM of 10749 and 10754.

LCM(10749,10754) = 3¹ × 3583¹ × 2¹ × 19¹ × 283¹
LCM(10749,10754) = 115594746