Least Common Multiple of 4672 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 4672 and 4680 the smallest integer that is 2733120 that is divisible by both numbers.

Least Common Multiple (LCM) of 4672 and 4680 is 2733120.

LCM(4672,4680) = 2733120

LCM of 4672 and 4680

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

LCM of:
and

Least Common Multiple of 4672 and 4680

LCM of 4672 and 4680 is 2733120

Least common multiple can be found by multiplying the highest exponent prime factors of 4672 and 4680. First we will calculate the prime factors of 4672 and 4680.

Prime Factorization of 4672


2 4672
2 2336
2 1168
2 584
2 292
2 146
73 73
1

Prime factors of 4672 are 2,73. Prime factorization of 4672 in exponential form is:

4672 = 26×731

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 4672 and 4680.

LCM(4672,4680) = 26×32×51×131×731
LCM(4672,4680) = 2733120

Factors of 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672

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 4672 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 4672 and 4680, than apply into the LCM equation.

GCF(4672,4680) = 8
LCM(4672,4680) = ( 4672 × 4680) / 8
LCM(4672,4680) = 21864960 / 8
LCM(4672,4680) = 2733120

Properties of LCM 4672 and 4680

(i) The LCM of 4680 and 4672 is associative

LCM of 4672 and 4680 = LCM of 4680 and 4672

Related Least Common Multiples of 4672

Related Least Common Multiples of 4680

Frequently Asked Questions on LCM of 4672 and 4680

1. What is the LCM of 4672 and 4680?

Answer: LCM of 4672 and 4680 is 2733120.

2. What are the Factors of 4672?

Answer: Factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672. There are 14 integers that are factors of 4672. The greatest factor of 4672 is 4672.

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 4672 and 4680?

Answer:

Least Common Multiple of 4672 and 4680 = 2733120

Step 1: Find the prime factorization of 4672

4672 = 2 x 2 x 2 x 2 x 2 x 2 x 73

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 = 2733120 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 73

Step 4: Therefore, the least common multiple of 4672 and 4680 is 2733120.