What is the Least Common Multiple of 10690 and 10703?

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 10690 and 10703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10690 and 10703, than apply into the LCM equation.

GCF(10690,10703) = 1
LCM(10690,10703) = ( 10690 × 10703) / 1
LCM(10690,10703) = 114415070 / 1
LCM(10690,10703) = 114415070

Least Common Multiple (LCM) of 10690 and 10703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10690 and 10703. First we will calculate the prime factors of 10690 and 10703.

Prime Factorization of 10690

Prime Factorization of 10703

Now multiplying the highest exponent prime factors to calculate the LCM of 10690 and 10703.

LCM(10690,10703) = 2¹ × 5¹ × 1069¹ × 7¹ × 11¹ × 139¹
LCM(10690,10703) = 114415070