What is the Least Common Multiple of 10735 and 10741?

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 10735 and 10741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10735 and 10741, than apply into the LCM equation.

GCF(10735,10741) = 1
LCM(10735,10741) = ( 10735 × 10741) / 1
LCM(10735,10741) = 115304635 / 1
LCM(10735,10741) = 115304635

Least Common Multiple (LCM) of 10735 and 10741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10735 and 10741. First we will calculate the prime factors of 10735 and 10741.

Prime Factorization of 10735

Prime Factorization of 10741

Now multiplying the highest exponent prime factors to calculate the LCM of 10735 and 10741.

LCM(10735,10741) = 5¹ × 19¹ × 113¹ × 23¹ × 467¹
LCM(10735,10741) = 115304635