GCF and LCM Calculator Logo

What is the Least Common Multiple of 16282 and 16300?

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 16282 and 16300 is 132698300.

LCM(16282,16300) = 132698300

LCM Calculator and
and

Least Common Multiple of 16282 and 16300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16282 and 16300, than apply into the LCM equation.

GCF(16282,16300) = 2
LCM(16282,16300) = ( 16282 × 16300) / 2
LCM(16282,16300) = 265396600 / 2
LCM(16282,16300) = 132698300

Least Common Multiple (LCM) of 16282 and 16300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16282 and 16300. First we will calculate the prime factors of 16282 and 16300.

Prime Factorization of 16282

Prime factors of 16282 are 2, 7, 1163. Prime factorization of 16282 in exponential form is:

16282 = 21 × 71 × 11631

Prime Factorization of 16300

Prime factors of 16300 are 2, 5, 163. Prime factorization of 16300 in exponential form is:

16300 = 22 × 52 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 16282 and 16300.

LCM(16282,16300) = 22 × 71 × 11631 × 52 × 1631
LCM(16282,16300) = 132698300