What is the Least Common Multiple of 10758 and 10768?

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 10758 and 10768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10758 and 10768, than apply into the LCM equation.

GCF(10758,10768) = 2
LCM(10758,10768) = ( 10758 × 10768) / 2
LCM(10758,10768) = 115842144 / 2
LCM(10758,10768) = 57921072

Least Common Multiple (LCM) of 10758 and 10768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10758 and 10768. First we will calculate the prime factors of 10758 and 10768.

Prime Factorization of 10758

Prime Factorization of 10768

Now multiplying the highest exponent prime factors to calculate the LCM of 10758 and 10768.

LCM(10758,10768) = 2⁴ × 3¹ × 11¹ × 163¹ × 673¹
LCM(10758,10768) = 57921072