What is the Least Common Multiple of 26698 and 26703?

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 26698 and 26703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26698 and 26703, than apply into the LCM equation.

GCF(26698,26703) = 1
LCM(26698,26703) = ( 26698 × 26703) / 1
LCM(26698,26703) = 712916694 / 1
LCM(26698,26703) = 712916694

Least Common Multiple (LCM) of 26698 and 26703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26698 and 26703. First we will calculate the prime factors of 26698 and 26703.

Prime Factorization of 26698

Prime Factorization of 26703

Now multiplying the highest exponent prime factors to calculate the LCM of 26698 and 26703.

LCM(26698,26703) = 2¹ × 7¹ × 1907¹ × 3³ × 23¹ × 43¹
LCM(26698,26703) = 712916694