Least Common Multiple of 4914 and 4920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4914 and 4920 the smallest integer that is 4029480 that is divisible by both numbers.

Least Common Multiple (LCM) of 4914 and 4920 is 4029480.

LCM(4914,4920) = 4029480

LCM of 4914 and 4920

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

LCM of:
and

Least Common Multiple of 4914 and 4920

LCM of 4914 and 4920 is 4029480

Least common multiple can be found by multiplying the highest exponent prime factors of 4914 and 4920. First we will calculate the prime factors of 4914 and 4920.

Prime Factorization of 4914


2 4914
3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 4914 are 2, 3, 7,13. Prime factorization of 4914 in exponential form is:

4914 = 21×33×71×131

Prime Factorization of 4920


2 4920
2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 4920 are 2, 3, 5,41. Prime factorization of 4920 in exponential form is:

4920 = 23×31×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4914 and 4920.

LCM(4914,4920) = 23×33×51×71×131×411
LCM(4914,4920) = 4029480

Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914

Factors of 4920

List of positive integer factors of 4920 that divides 4920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920

Least Common Multiple of 4914 and 4920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4914 and 4920, than apply into the LCM equation.

GCF(4914,4920) = 6
LCM(4914,4920) = ( 4914 × 4920) / 6
LCM(4914,4920) = 24176880 / 6
LCM(4914,4920) = 4029480

Properties of LCM 4914 and 4920

(i) The LCM of 4920 and 4914 is associative

LCM of 4914 and 4920 = LCM of 4920 and 4914

Related Least Common Multiples of 4914

Related Least Common Multiples of 4920

Frequently Asked Questions on LCM of 4914 and 4920

1. What is the LCM of 4914 and 4920?

Answer: LCM of 4914 and 4920 is 4029480.

2. What are the Factors of 4914?

Answer: Factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914. There are 32 integers that are factors of 4914. The greatest factor of 4914 is 4914.

3. What are the Factors of 4920?

Answer: Factors of 4920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920. There are 32 integers that are factors of 4920. The greatest factor of 4920 is 4920.

4. How to Find the LCM of 4914 and 4920?

Answer:

Least Common Multiple of 4914 and 4920 = 4029480

Step 1: Find the prime factorization of 4914

4914 = 2 x 3 x 3 x 3 x 7 x 13

Step 2: Find the prime factorization of 4920

4920 = 2 x 2 x 2 x 3 x 5 x 41

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

LCM = 4029480 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 41

Step 4: Therefore, the least common multiple of 4914 and 4920 is 4029480.