What is the Least Common Multiple of 26278 and 26287?

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 26287 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 26287, than apply into the LCM equation.

GCF(26278,26287) = 1
LCM(26278,26287) = ( 26278 × 26287) / 1
LCM(26278,26287) = 690769786 / 1
LCM(26278,26287) = 690769786

Least Common Multiple (LCM) of 26278 and 26287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26278 and 26287. First we will calculate the prime factors of 26278 and 26287.

Prime Factorization of 26278

Prime Factorization of 26287

Now multiplying the highest exponent prime factors to calculate the LCM of 26278 and 26287.

LCM(26278,26287) = 2¹ × 7¹ × 1877¹ × 97¹ × 271¹
LCM(26278,26287) = 690769786