Least Common Multiple of 4675 and 4680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4675 and 4680 the smallest integer that is 4375800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4675 and 4680 is 4375800.

LCM(4675,4680) = 4375800

LCM of 4675 and 4680

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

LCM of:
and

Least Common Multiple of 4675 and 4680

LCM of 4675 and 4680 is 4375800

Least common multiple can be found by multiplying the highest exponent prime factors of 4675 and 4680. First we will calculate the prime factors of 4675 and 4680.

Prime Factorization of 4675


5 4675
5 935
11 187
17 17
1

Prime factors of 4675 are 5, 11,17. Prime factorization of 4675 in exponential form is:

4675 = 52×111×171

Prime Factorization of 4680


2 4680
2 2340
2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 4680 are 2, 3, 5,13. Prime factorization of 4680 in exponential form is:

4680 = 23×32×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4675 and 4680.

LCM(4675,4680) = 23×32×52×111×131×171
LCM(4675,4680) = 4375800

Factors of 4675

List of positive integer factors of 4675 that divides 4675 without a remainder.

1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680

Least Common Multiple of 4675 and 4680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4675 and 4680, than apply into the LCM equation.

GCF(4675,4680) = 5
LCM(4675,4680) = ( 4675 × 4680) / 5
LCM(4675,4680) = 21879000 / 5
LCM(4675,4680) = 4375800

Properties of LCM 4675 and 4680

(i) The LCM of 4680 and 4675 is associative

LCM of 4675 and 4680 = LCM of 4680 and 4675

Related Least Common Multiples of 4675

Related Least Common Multiples of 4680

Frequently Asked Questions on LCM of 4675 and 4680

1. What is the LCM of 4675 and 4680?

Answer: LCM of 4675 and 4680 is 4375800.

2. What are the Factors of 4675?

Answer: Factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675. There are 12 integers that are factors of 4675. The greatest factor of 4675 is 4675.

3. What are the Factors of 4680?

Answer: Factors of 4680 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680. There are 48 integers that are factors of 4680. The greatest factor of 4680 is 4680.

4. How to Find the LCM of 4675 and 4680?

Answer:

Least Common Multiple of 4675 and 4680 = 4375800

Step 1: Find the prime factorization of 4675

4675 = 5 x 5 x 11 x 17

Step 2: Find the prime factorization of 4680

4680 = 2 x 2 x 2 x 3 x 3 x 5 x 13

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

LCM = 4375800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 4675 and 4680 is 4375800.