What is the Least Common Multiple of 26760 and 26775?

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 26760 and 26775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26760 and 26775, than apply into the LCM equation.

GCF(26760,26775) = 15
LCM(26760,26775) = ( 26760 × 26775) / 15
LCM(26760,26775) = 716499000 / 15
LCM(26760,26775) = 47766600

Least Common Multiple (LCM) of 26760 and 26775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26760 and 26775. First we will calculate the prime factors of 26760 and 26775.

Prime Factorization of 26760

Prime Factorization of 26775

Now multiplying the highest exponent prime factors to calculate the LCM of 26760 and 26775.

LCM(26760,26775) = 2³ × 3² × 5² × 223¹ × 7¹ × 17¹
LCM(26760,26775) = 47766600