Least Common Multiple of 4467 and 4470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4467 and 4470 the smallest integer that is 6655830 that is divisible by both numbers.

Least Common Multiple (LCM) of 4467 and 4470 is 6655830.

LCM(4467,4470) = 6655830

LCM of 4467 and 4470

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

LCM of:
and

Least Common Multiple of 4467 and 4470

LCM of 4467 and 4470 is 6655830

Least common multiple can be found by multiplying the highest exponent prime factors of 4467 and 4470. First we will calculate the prime factors of 4467 and 4470.

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

Prime Factorization of 4470


2 4470
3 2235
5 745
149 149
1

Prime factors of 4470 are 2, 3, 5,149. Prime factorization of 4470 in exponential form is:

4470 = 21×31×51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4467 and 4470.

LCM(4467,4470) = 21×31×51×1491×14891
LCM(4467,4470) = 6655830

Factors of 4467

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

1, 3, 1489, 4467

Factors of 4470

List of positive integer factors of 4470 that divides 4470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470

Least Common Multiple of 4467 and 4470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4467 and 4470, than apply into the LCM equation.

GCF(4467,4470) = 3
LCM(4467,4470) = ( 4467 × 4470) / 3
LCM(4467,4470) = 19967490 / 3
LCM(4467,4470) = 6655830

Properties of LCM 4467 and 4470

(i) The LCM of 4470 and 4467 is associative

LCM of 4467 and 4470 = LCM of 4470 and 4467

Related Least Common Multiples of 4467

Related Least Common Multiples of 4470

Frequently Asked Questions on LCM of 4467 and 4470

1. What is the LCM of 4467 and 4470?

Answer: LCM of 4467 and 4470 is 6655830.

2. 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.

3. What are the Factors of 4470?

Answer: Factors of 4470 are 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470. There are 16 integers that are factors of 4470. The greatest factor of 4470 is 4470.

4. How to Find the LCM of 4467 and 4470?

Answer:

Least Common Multiple of 4467 and 4470 = 6655830

Step 1: Find the prime factorization of 4467

4467 = 3 x 1489

Step 2: Find the prime factorization of 4470

4470 = 2 x 3 x 5 x 149

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

LCM = 6655830 = 2 x 3 x 5 x 149 x 1489

Step 4: Therefore, the least common multiple of 4467 and 4470 is 6655830.