GCF and LCM Calculator Logo

What is the Least Common Multiple of 16556 and 16575?

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 (LCM) of 16556 and 16575 is 274415700.

LCM(16556,16575) = 274415700

LCM Calculator and
and

Least Common Multiple of 16556 and 16575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16556 and 16575, than apply into the LCM equation.

GCF(16556,16575) = 1
LCM(16556,16575) = ( 16556 × 16575) / 1
LCM(16556,16575) = 274415700 / 1
LCM(16556,16575) = 274415700

Least Common Multiple (LCM) of 16556 and 16575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16556 and 16575. First we will calculate the prime factors of 16556 and 16575.

Prime Factorization of 16556

Prime factors of 16556 are 2, 4139. Prime factorization of 16556 in exponential form is:

16556 = 22 × 41391

Prime Factorization of 16575

Prime factors of 16575 are 3, 5, 13, 17. Prime factorization of 16575 in exponential form is:

16575 = 31 × 52 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 16556 and 16575.

LCM(16556,16575) = 22 × 41391 × 31 × 52 × 131 × 171
LCM(16556,16575) = 274415700