What is the Least Common Multiple of 26064 and 26076?

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 26064 and 26076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26064 and 26076, than apply into the LCM equation.

GCF(26064,26076) = 12
LCM(26064,26076) = ( 26064 × 26076) / 12
LCM(26064,26076) = 679644864 / 12
LCM(26064,26076) = 56637072

Least Common Multiple (LCM) of 26064 and 26076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26064 and 26076. First we will calculate the prime factors of 26064 and 26076.

Prime Factorization of 26064

Prime Factorization of 26076

Now multiplying the highest exponent prime factors to calculate the LCM of 26064 and 26076.

LCM(26064,26076) = 2⁴ × 3² × 181¹ × 41¹ × 53¹
LCM(26064,26076) = 56637072