What is the Least Common Multiple of 17556 and 17567?

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 17556 and 17567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17556 and 17567, than apply into the LCM equation.

GCF(17556,17567) = 11
LCM(17556,17567) = ( 17556 × 17567) / 11
LCM(17556,17567) = 308406252 / 11
LCM(17556,17567) = 28036932

Least Common Multiple (LCM) of 17556 and 17567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17556 and 17567. First we will calculate the prime factors of 17556 and 17567.

Prime Factorization of 17556

Prime Factorization of 17567

Now multiplying the highest exponent prime factors to calculate the LCM of 17556 and 17567.

LCM(17556,17567) = 2² × 3¹ × 7¹ × 11¹ × 19¹ × 1597¹
LCM(17556,17567) = 28036932