What is the Least Common Multiple of 26814 and 26834?

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 26814 and 26834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26814 and 26834, than apply into the LCM equation.

GCF(26814,26834) = 2
LCM(26814,26834) = ( 26814 × 26834) / 2
LCM(26814,26834) = 719526876 / 2
LCM(26814,26834) = 359763438

Least Common Multiple (LCM) of 26814 and 26834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26814 and 26834. First we will calculate the prime factors of 26814 and 26834.

Prime Factorization of 26814

Prime Factorization of 26834

Now multiplying the highest exponent prime factors to calculate the LCM of 26814 and 26834.

LCM(26814,26834) = 2¹ × 3¹ × 41¹ × 109¹ × 13417¹
LCM(26814,26834) = 359763438