What is the Least Common Multiple of 26775 and 26793?

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 26775 and 26793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26775 and 26793, than apply into the LCM equation.

GCF(26775,26793) = 9
LCM(26775,26793) = ( 26775 × 26793) / 9
LCM(26775,26793) = 717382575 / 9
LCM(26775,26793) = 79709175

Least Common Multiple (LCM) of 26775 and 26793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26775 and 26793. First we will calculate the prime factors of 26775 and 26793.

Prime Factorization of 26775

Prime Factorization of 26793

Now multiplying the highest exponent prime factors to calculate the LCM of 26775 and 26793.

LCM(26775,26793) = 3² × 5² × 7¹ × 17¹ × 13¹ × 229¹
LCM(26775,26793) = 79709175