Least Common Multiple of 4662 and 4669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4662 and 4669 the smallest integer that is 3109554 that is divisible by both numbers.

Least Common Multiple (LCM) of 4662 and 4669 is 3109554.

LCM(4662,4669) = 3109554

LCM of 4662 and 4669

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

LCM of:
and

Least Common Multiple of 4662 and 4669

LCM of 4662 and 4669 is 3109554

Least common multiple can be found by multiplying the highest exponent prime factors of 4662 and 4669. First we will calculate the prime factors of 4662 and 4669.

Prime Factorization of 4662


2 4662
3 2331
3 777
7 259
37 37
1

Prime factors of 4662 are 2, 3, 7,37. Prime factorization of 4662 in exponential form is:

4662 = 21×32×71×371

Prime Factorization of 4669


7 4669
23 667
29 29
1

Prime factors of 4669 are 7, 23,29. Prime factorization of 4669 in exponential form is:

4669 = 71×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4662 and 4669.

LCM(4662,4669) = 21×32×71×231×291×371
LCM(4662,4669) = 3109554

Factors of 4662

List of positive integer factors of 4662 that divides 4662 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662

Factors of 4669

List of positive integer factors of 4669 that divides 4669 without a remainder.

1, 7, 23, 29, 161, 203, 667, 4669

Least Common Multiple of 4662 and 4669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4662 and 4669, than apply into the LCM equation.

GCF(4662,4669) = 7
LCM(4662,4669) = ( 4662 × 4669) / 7
LCM(4662,4669) = 21766878 / 7
LCM(4662,4669) = 3109554

Properties of LCM 4662 and 4669

(i) The LCM of 4669 and 4662 is associative

LCM of 4662 and 4669 = LCM of 4669 and 4662

Related Least Common Multiples of 4662

Related Least Common Multiples of 4669

Frequently Asked Questions on LCM of 4662 and 4669

1. What is the LCM of 4662 and 4669?

Answer: LCM of 4662 and 4669 is 3109554.

2. What are the Factors of 4662?

Answer: Factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662. There are 24 integers that are factors of 4662. The greatest factor of 4662 is 4662.

3. What are the Factors of 4669?

Answer: Factors of 4669 are 1, 7, 23, 29, 161, 203, 667, 4669. There are 8 integers that are factors of 4669. The greatest factor of 4669 is 4669.

4. How to Find the LCM of 4662 and 4669?

Answer:

Least Common Multiple of 4662 and 4669 = 3109554

Step 1: Find the prime factorization of 4662

4662 = 2 x 3 x 3 x 7 x 37

Step 2: Find the prime factorization of 4669

4669 = 7 x 23 x 29

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

LCM = 3109554 = 2 x 3 x 3 x 7 x 23 x 29 x 37

Step 4: Therefore, the least common multiple of 4662 and 4669 is 3109554.