GCF and LCM Calculator Logo

What is the Least Common Multiple of 16466 and 16472?

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 16466 and 16472 is 135613976.

LCM(16466,16472) = 135613976

LCM Calculator and
and

Least Common Multiple of 16466 and 16472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16466 and 16472, than apply into the LCM equation.

GCF(16466,16472) = 2
LCM(16466,16472) = ( 16466 × 16472) / 2
LCM(16466,16472) = 271227952 / 2
LCM(16466,16472) = 135613976

Least Common Multiple (LCM) of 16466 and 16472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16466 and 16472. First we will calculate the prime factors of 16466 and 16472.

Prime Factorization of 16466

Prime factors of 16466 are 2, 8233. Prime factorization of 16466 in exponential form is:

16466 = 21 × 82331

Prime Factorization of 16472

Prime factors of 16472 are 2, 29, 71. Prime factorization of 16472 in exponential form is:

16472 = 23 × 291 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 16466 and 16472.

LCM(16466,16472) = 23 × 82331 × 291 × 711
LCM(16466,16472) = 135613976