What is the Least Common Multiple of 26890 and 26895?

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 26890 and 26895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26890 and 26895, than apply into the LCM equation.

GCF(26890,26895) = 5
LCM(26890,26895) = ( 26890 × 26895) / 5
LCM(26890,26895) = 723206550 / 5
LCM(26890,26895) = 144641310

Least Common Multiple (LCM) of 26890 and 26895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26890 and 26895. First we will calculate the prime factors of 26890 and 26895.

Prime Factorization of 26890

Prime Factorization of 26895

Now multiplying the highest exponent prime factors to calculate the LCM of 26890 and 26895.

LCM(26890,26895) = 2¹ × 5¹ × 2689¹ × 3¹ × 11¹ × 163¹
LCM(26890,26895) = 144641310