What is the Least Common Multiple of 26049 and 26066?

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 26049 and 26066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26049 and 26066, than apply into the LCM equation.

GCF(26049,26066) = 1
LCM(26049,26066) = ( 26049 × 26066) / 1
LCM(26049,26066) = 678993234 / 1
LCM(26049,26066) = 678993234

Least Common Multiple (LCM) of 26049 and 26066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26049 and 26066. First we will calculate the prime factors of 26049 and 26066.

Prime Factorization of 26049

Prime Factorization of 26066

Now multiplying the highest exponent prime factors to calculate the LCM of 26049 and 26066.

LCM(26049,26066) = 3¹ × 19¹ × 457¹ × 2¹ × 13033¹
LCM(26049,26066) = 678993234