Least Common Multiple of 4913 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 4913 and 4920 the smallest integer that is 24171960 that is divisible by both numbers.

Least Common Multiple (LCM) of 4913 and 4920 is 24171960.

LCM(4913,4920) = 24171960

LCM of 4913 and 4920

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

LCM of:
and

Least Common Multiple of 4913 and 4920

LCM of 4913 and 4920 is 24171960

Least common multiple can be found by multiplying the highest exponent prime factors of 4913 and 4920. First we will calculate the prime factors of 4913 and 4920.

Prime Factorization of 4913


17 4913
17 289
17 17
1

Prime factors of 4913 are 17. Prime factorization of 4913 in exponential form is:

4913 = 173

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 4913 and 4920.

LCM(4913,4920) = 23×31×51×173×411
LCM(4913,4920) = 24171960

Factors of 4913

List of positive integer factors of 4913 that divides 4913 without a remainder.

1, 17, 289, 4913

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 4913 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 4913 and 4920, than apply into the LCM equation.

GCF(4913,4920) = 1
LCM(4913,4920) = ( 4913 × 4920) / 1
LCM(4913,4920) = 24171960 / 1
LCM(4913,4920) = 24171960

Properties of LCM 4913 and 4920

(i) The LCM of 4920 and 4913 is associative

LCM of 4913 and 4920 = LCM of 4920 and 4913

Related Least Common Multiples of 4913

Related Least Common Multiples of 4920

Frequently Asked Questions on LCM of 4913 and 4920

1. What is the LCM of 4913 and 4920?

Answer: LCM of 4913 and 4920 is 24171960.

2. What are the Factors of 4913?

Answer: Factors of 4913 are 1, 17, 289, 4913. There are 4 integers that are factors of 4913. The greatest factor of 4913 is 4913.

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 4913 and 4920?

Answer:

Least Common Multiple of 4913 and 4920 = 24171960

Step 1: Find the prime factorization of 4913

4913 = 17 x 17 x 17

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 = 24171960 = 2 x 2 x 2 x 3 x 5 x 17 x 17 x 17 x 41

Step 4: Therefore, the least common multiple of 4913 and 4920 is 24171960.