GCF and LCM Calculator Logo

What is the Least Common Multiple of 16222 and 16235?

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 16222 and 16235 is 263364170.

LCM(16222,16235) = 263364170

LCM Calculator and
and

Least Common Multiple of 16222 and 16235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16222 and 16235, than apply into the LCM equation.

GCF(16222,16235) = 1
LCM(16222,16235) = ( 16222 × 16235) / 1
LCM(16222,16235) = 263364170 / 1
LCM(16222,16235) = 263364170

Least Common Multiple (LCM) of 16222 and 16235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16222 and 16235. First we will calculate the prime factors of 16222 and 16235.

Prime Factorization of 16222

Prime factors of 16222 are 2, 8111. Prime factorization of 16222 in exponential form is:

16222 = 21 × 81111

Prime Factorization of 16235

Prime factors of 16235 are 5, 17, 191. Prime factorization of 16235 in exponential form is:

16235 = 51 × 171 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 16222 and 16235.

LCM(16222,16235) = 21 × 81111 × 51 × 171 × 1911
LCM(16222,16235) = 263364170