What is the Least Common Multiple of 26066 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 26066 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 26066 and 26073, than apply into the LCM equation.

GCF(26066,26073) = 1
LCM(26066,26073) = ( 26066 × 26073) / 1
LCM(26066,26073) = 679618818 / 1
LCM(26066,26073) = 679618818

Least Common Multiple (LCM) of 26066 and 26073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26066 and 26073. First we will calculate the prime factors of 26066 and 26073.

Prime Factorization of 26066

Prime Factorization of 26073

Now multiplying the highest exponent prime factors to calculate the LCM of 26066 and 26073.

LCM(26066,26073) = 2¹ × 13033¹ × 3² × 2897¹
LCM(26066,26073) = 679618818