What is the Least Common Multiple of 26775 and 26792?

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 26792 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 26792, than apply into the LCM equation.

GCF(26775,26792) = 17
LCM(26775,26792) = ( 26775 × 26792) / 17
LCM(26775,26792) = 717355800 / 17
LCM(26775,26792) = 42197400

Least Common Multiple (LCM) of 26775 and 26792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26775 and 26792. First we will calculate the prime factors of 26775 and 26792.

Prime Factorization of 26775

Prime Factorization of 26792

Now multiplying the highest exponent prime factors to calculate the LCM of 26775 and 26792.

LCM(26775,26792) = 3² × 5² × 7¹ × 17¹ × 2³ × 197¹
LCM(26775,26792) = 42197400