Least Common Multiple of 4914 and 4921

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 4921 the smallest integer that is 3454542 that is divisible by both numbers.

Least Common Multiple (LCM) of 4914 and 4921 is 3454542.

LCM(4914,4921) = 3454542

LCM of 4914 and 4921

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

LCM of:
and

Least Common Multiple of 4914 and 4921

LCM of 4914 and 4921 is 3454542

Least common multiple can be found by multiplying the highest exponent prime factors of 4914 and 4921. First we will calculate the prime factors of 4914 and 4921.

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 4921


7 4921
19 703
37 37
1

Prime factors of 4921 are 7, 19,37. Prime factorization of 4921 in exponential form is:

4921 = 71×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4914 and 4921.

LCM(4914,4921) = 21×33×71×131×191×371
LCM(4914,4921) = 3454542

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 4921

List of positive integer factors of 4921 that divides 4921 without a remainder.

1, 7, 19, 37, 133, 259, 703, 4921

Least Common Multiple of 4914 and 4921 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 4921, than apply into the LCM equation.

GCF(4914,4921) = 7
LCM(4914,4921) = ( 4914 × 4921) / 7
LCM(4914,4921) = 24181794 / 7
LCM(4914,4921) = 3454542

Properties of LCM 4914 and 4921

(i) The LCM of 4921 and 4914 is associative

LCM of 4914 and 4921 = LCM of 4921 and 4914

Related Least Common Multiples of 4914

Related Least Common Multiples of 4921

Frequently Asked Questions on LCM of 4914 and 4921

1. What is the LCM of 4914 and 4921?

Answer: LCM of 4914 and 4921 is 3454542.

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 4921?

Answer: Factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921. There are 8 integers that are factors of 4921. The greatest factor of 4921 is 4921.

4. How to Find the LCM of 4914 and 4921?

Answer:

Least Common Multiple of 4914 and 4921 = 3454542

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 4921

4921 = 7 x 19 x 37

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

LCM = 3454542 = 2 x 3 x 3 x 3 x 7 x 13 x 19 x 37

Step 4: Therefore, the least common multiple of 4914 and 4921 is 3454542.