What is the Least Common Multiple of 26874 and 26890?

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 26874 and 26890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26874 and 26890, than apply into the LCM equation.

GCF(26874,26890) = 2
LCM(26874,26890) = ( 26874 × 26890) / 2
LCM(26874,26890) = 722641860 / 2
LCM(26874,26890) = 361320930

Least Common Multiple (LCM) of 26874 and 26890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26874 and 26890. First we will calculate the prime factors of 26874 and 26890.

Prime Factorization of 26874

Prime Factorization of 26890

Now multiplying the highest exponent prime factors to calculate the LCM of 26874 and 26890.

LCM(26874,26890) = 2¹ × 3² × 1493¹ × 5¹ × 2689¹
LCM(26874,26890) = 361320930