Least Common Multiple of 4462 and 4467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4462 and 4467 the smallest integer that is 19931754 that is divisible by both numbers.

Least Common Multiple (LCM) of 4462 and 4467 is 19931754.

LCM(4462,4467) = 19931754

LCM of 4462 and 4467

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4462 and 4467

LCM of 4462 and 4467 is 19931754

Least common multiple can be found by multiplying the highest exponent prime factors of 4462 and 4467. First we will calculate the prime factors of 4462 and 4467.

Prime Factorization of 4462


2 4462
23 2231
97 97
1

Prime factors of 4462 are 2, 23,97. Prime factorization of 4462 in exponential form is:

4462 = 21×231×971

Prime Factorization of 4467


3 4467
1489 1489
1

Prime factors of 4467 are 3,1489. Prime factorization of 4467 in exponential form is:

4467 = 31×14891

Now multiplying the highest exponent prime factors to calculate the LCM of 4462 and 4467.

LCM(4462,4467) = 21×31×231×971×14891
LCM(4462,4467) = 19931754

Factors of 4462

List of positive integer factors of 4462 that divides 4462 without a remainder.

1, 2, 23, 46, 97, 194, 2231, 4462

Factors of 4467

List of positive integer factors of 4467 that divides 4467 without a remainder.

1, 3, 1489, 4467

Least Common Multiple of 4462 and 4467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4462 and 4467, than apply into the LCM equation.

GCF(4462,4467) = 1
LCM(4462,4467) = ( 4462 × 4467) / 1
LCM(4462,4467) = 19931754 / 1
LCM(4462,4467) = 19931754

Properties of LCM 4462 and 4467

(i) The LCM of 4467 and 4462 is associative

LCM of 4462 and 4467 = LCM of 4467 and 4462

Related Least Common Multiples of 4462

Related Least Common Multiples of 4467

Frequently Asked Questions on LCM of 4462 and 4467

1. What is the LCM of 4462 and 4467?

Answer: LCM of 4462 and 4467 is 19931754.

2. What are the Factors of 4462?

Answer: Factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462. There are 8 integers that are factors of 4462. The greatest factor of 4462 is 4462.

3. What are the Factors of 4467?

Answer: Factors of 4467 are 1, 3, 1489, 4467. There are 4 integers that are factors of 4467. The greatest factor of 4467 is 4467.

4. How to Find the LCM of 4462 and 4467?

Answer:

Least Common Multiple of 4462 and 4467 = 19931754

Step 1: Find the prime factorization of 4462

4462 = 2 x 23 x 97

Step 2: Find the prime factorization of 4467

4467 = 3 x 1489

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 19931754 = 2 x 3 x 23 x 97 x 1489

Step 4: Therefore, the least common multiple of 4462 and 4467 is 19931754.