What is the Least Common Multiple of 26064 and 26069?

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 26069 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 26069, than apply into the LCM equation.

GCF(26064,26069) = 1
LCM(26064,26069) = ( 26064 × 26069) / 1
LCM(26064,26069) = 679462416 / 1
LCM(26064,26069) = 679462416

Least Common Multiple (LCM) of 26064 and 26069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26064 and 26069. First we will calculate the prime factors of 26064 and 26069.

Prime Factorization of 26064

Prime Factorization of 26069

Now multiplying the highest exponent prime factors to calculate the LCM of 26064 and 26069.

LCM(26064,26069) = 2⁴ × 3² × 181¹ × 131¹ × 199¹
LCM(26064,26069) = 679462416