What is the Least Common Multiple of 26144 and 26164?

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 26144 and 26164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26144 and 26164, than apply into the LCM equation.

GCF(26144,26164) = 4
LCM(26144,26164) = ( 26144 × 26164) / 4
LCM(26144,26164) = 684031616 / 4
LCM(26144,26164) = 171007904

Least Common Multiple (LCM) of 26144 and 26164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26144 and 26164. First we will calculate the prime factors of 26144 and 26164.

Prime Factorization of 26144

Prime Factorization of 26164

Now multiplying the highest exponent prime factors to calculate the LCM of 26144 and 26164.

LCM(26144,26164) = 2⁵ × 19¹ × 43¹ × 31¹ × 211¹
LCM(26144,26164) = 171007904