What is the Least Common Multiple of 26064 and 26073?

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 26073 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 26073, than apply into the LCM equation.

GCF(26064,26073) = 9
LCM(26064,26073) = ( 26064 × 26073) / 9
LCM(26064,26073) = 679566672 / 9
LCM(26064,26073) = 75507408

Least Common Multiple (LCM) of 26064 and 26073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26064 and 26073. First we will calculate the prime factors of 26064 and 26073.

Prime Factorization of 26064

Prime Factorization of 26073

Now multiplying the highest exponent prime factors to calculate the LCM of 26064 and 26073.

LCM(26064,26073) = 2⁴ × 3² × 181¹ × 2897¹
LCM(26064,26073) = 75507408