What is the Least Common Multiple of 26072 and 26082?

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 26072 and 26082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26072 and 26082, than apply into the LCM equation.

GCF(26072,26082) = 2
LCM(26072,26082) = ( 26072 × 26082) / 2
LCM(26072,26082) = 680009904 / 2
LCM(26072,26082) = 340004952

Least Common Multiple (LCM) of 26072 and 26082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26072 and 26082. First we will calculate the prime factors of 26072 and 26082.

Prime Factorization of 26072

Prime Factorization of 26082

Now multiplying the highest exponent prime factors to calculate the LCM of 26072 and 26082.

LCM(26072,26082) = 2³ × 3259¹ × 3⁴ × 7¹ × 23¹
LCM(26072,26082) = 340004952