What is the Least Common Multiple of 26906 and 26914?

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 26906 and 26914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26906 and 26914, than apply into the LCM equation.

GCF(26906,26914) = 2
LCM(26906,26914) = ( 26906 × 26914) / 2
LCM(26906,26914) = 724148084 / 2
LCM(26906,26914) = 362074042

Least Common Multiple (LCM) of 26906 and 26914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26906 and 26914. First we will calculate the prime factors of 26906 and 26914.

Prime Factorization of 26906

Prime Factorization of 26914

Now multiplying the highest exponent prime factors to calculate the LCM of 26906 and 26914.

LCM(26906,26914) = 2¹ × 11¹ × 1223¹ × 13457¹
LCM(26906,26914) = 362074042