What is the Least Common Multiple of 26009 and 26028?

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 26009 and 26028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26009 and 26028, than apply into the LCM equation.

GCF(26009,26028) = 1
LCM(26009,26028) = ( 26009 × 26028) / 1
LCM(26009,26028) = 676962252 / 1
LCM(26009,26028) = 676962252

Least Common Multiple (LCM) of 26009 and 26028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26009 and 26028. First we will calculate the prime factors of 26009 and 26028.

Prime Factorization of 26009

Prime Factorization of 26028

Now multiplying the highest exponent prime factors to calculate the LCM of 26009 and 26028.

LCM(26009,26028) = 31¹ × 839¹ × 2² × 3³ × 241¹
LCM(26009,26028) = 676962252