What is the Least Common Multiple of 10745 and 10759?

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 10745 and 10759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10745 and 10759, than apply into the LCM equation.

GCF(10745,10759) = 7
LCM(10745,10759) = ( 10745 × 10759) / 7
LCM(10745,10759) = 115605455 / 7
LCM(10745,10759) = 16515065

Least Common Multiple (LCM) of 10745 and 10759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10745 and 10759. First we will calculate the prime factors of 10745 and 10759.

Prime Factorization of 10745

Prime Factorization of 10759

Now multiplying the highest exponent prime factors to calculate the LCM of 10745 and 10759.

LCM(10745,10759) = 5¹ × 7¹ × 307¹ × 29¹ × 53¹
LCM(10745,10759) = 16515065