What is the Least Common Multiple of 26006 and 26026?

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 26006 and 26026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26006 and 26026, than apply into the LCM equation.

GCF(26006,26026) = 2
LCM(26006,26026) = ( 26006 × 26026) / 2
LCM(26006,26026) = 676832156 / 2
LCM(26006,26026) = 338416078

Least Common Multiple (LCM) of 26006 and 26026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26006 and 26026. First we will calculate the prime factors of 26006 and 26026.

Prime Factorization of 26006

Prime Factorization of 26026

Now multiplying the highest exponent prime factors to calculate the LCM of 26006 and 26026.

LCM(26006,26026) = 2¹ × 13003¹ × 7¹ × 11¹ × 13²
LCM(26006,26026) = 338416078