Least Common Multiple of 4674 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 4674 and 4680 the smallest integer that is 3645720 that is divisible by both numbers.

Least Common Multiple (LCM) of 4674 and 4680 is 3645720.

LCM(4674,4680) = 3645720

LCM of 4674 and 4680

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

LCM of:
and

Least Common Multiple of 4674 and 4680

LCM of 4674 and 4680 is 3645720

Least common multiple can be found by multiplying the highest exponent prime factors of 4674 and 4680. First we will calculate the prime factors of 4674 and 4680.

Prime Factorization of 4674


2 4674
3 2337
19 779
41 41
1

Prime factors of 4674 are 2, 3, 19,41. Prime factorization of 4674 in exponential form is:

4674 = 21×31×191×411

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 4674 and 4680.

LCM(4674,4680) = 23×32×51×131×191×411
LCM(4674,4680) = 3645720

Factors of 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674

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 4674 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 4674 and 4680, than apply into the LCM equation.

GCF(4674,4680) = 6
LCM(4674,4680) = ( 4674 × 4680) / 6
LCM(4674,4680) = 21874320 / 6
LCM(4674,4680) = 3645720

Properties of LCM 4674 and 4680

(i) The LCM of 4680 and 4674 is associative

LCM of 4674 and 4680 = LCM of 4680 and 4674

Related Least Common Multiples of 4674

Related Least Common Multiples of 4680

Frequently Asked Questions on LCM of 4674 and 4680

1. What is the LCM of 4674 and 4680?

Answer: LCM of 4674 and 4680 is 3645720.

2. What are the Factors of 4674?

Answer: Factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674. There are 16 integers that are factors of 4674. The greatest factor of 4674 is 4674.

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 4674 and 4680?

Answer:

Least Common Multiple of 4674 and 4680 = 3645720

Step 1: Find the prime factorization of 4674

4674 = 2 x 3 x 19 x 41

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 = 3645720 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 4674 and 4680 is 3645720.