What is the Least Common Multiple of 26278 and 26296?

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 26278 and 26296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26278 and 26296, than apply into the LCM equation.

GCF(26278,26296) = 2
LCM(26278,26296) = ( 26278 × 26296) / 2
LCM(26278,26296) = 691006288 / 2
LCM(26278,26296) = 345503144

Least Common Multiple (LCM) of 26278 and 26296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26278 and 26296. First we will calculate the prime factors of 26278 and 26296.

Prime Factorization of 26278

Prime Factorization of 26296

Now multiplying the highest exponent prime factors to calculate the LCM of 26278 and 26296.

LCM(26278,26296) = 2³ × 7¹ × 1877¹ × 19¹ × 173¹
LCM(26278,26296) = 345503144