GCF and LCM Calculator Logo

What is the Least Common Multiple of 441 and 459?

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 441 and 459 is 22491.

LCM(441,459) = 22491

LCM Calculator and
and

Least Common Multiple of 441 and 459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 441 and 459, than apply into the LCM equation.

GCF(441,459) = 9
LCM(441,459) = ( 441 × 459) / 9
LCM(441,459) = 202419 / 9
LCM(441,459) = 22491

Least Common Multiple (LCM) of 441 and 459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 441 and 459. First we will calculate the prime factors of 441 and 459.

Prime Factorization of 441

Prime factors of 441 are 3, 7. Prime factorization of 441 in exponential form is:

441 = 32 × 72

Prime Factorization of 459

Prime factors of 459 are 3, 17. Prime factorization of 459 in exponential form is:

459 = 33 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 441 and 459.

LCM(441,459) = 33 × 72 × 171
LCM(441,459) = 22491