GCF and LCM Calculator Logo

What is the Least Common Multiple of 471 and 482?

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 471 and 482 is 227022.

LCM(471,482) = 227022

LCM Calculator and
and

Least Common Multiple of 471 and 482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 471 and 482, than apply into the LCM equation.

GCF(471,482) = 1
LCM(471,482) = ( 471 × 482) / 1
LCM(471,482) = 227022 / 1
LCM(471,482) = 227022

Least Common Multiple (LCM) of 471 and 482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 471 and 482. First we will calculate the prime factors of 471 and 482.

Prime Factorization of 471

Prime factors of 471 are 3, 157. Prime factorization of 471 in exponential form is:

471 = 31 × 1571

Prime Factorization of 482

Prime factors of 482 are 2, 241. Prime factorization of 482 in exponential form is:

482 = 21 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 471 and 482.

LCM(471,482) = 31 × 1571 × 21 × 2411
LCM(471,482) = 227022