What is the Least Common Multiple of 26673 and 26686?

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 26673 and 26686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26673 and 26686, than apply into the LCM equation.

GCF(26673,26686) = 1
LCM(26673,26686) = ( 26673 × 26686) / 1
LCM(26673,26686) = 711795678 / 1
LCM(26673,26686) = 711795678

Least Common Multiple (LCM) of 26673 and 26686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26673 and 26686. First we will calculate the prime factors of 26673 and 26686.

Prime Factorization of 26673

Prime Factorization of 26686

Now multiplying the highest exponent prime factors to calculate the LCM of 26673 and 26686.

LCM(26673,26686) = 3¹ × 17¹ × 523¹ × 2¹ × 11¹ × 1213¹
LCM(26673,26686) = 711795678