Least Common Multiple of 4907 and 4914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4907 and 4914 the smallest integer that is 3444714 that is divisible by both numbers.

Least Common Multiple (LCM) of 4907 and 4914 is 3444714.

LCM(4907,4914) = 3444714

LCM of 4907 and 4914

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

LCM of:
and

Least Common Multiple of 4907 and 4914

LCM of 4907 and 4914 is 3444714

Least common multiple can be found by multiplying the highest exponent prime factors of 4907 and 4914. First we will calculate the prime factors of 4907 and 4914.

Prime Factorization of 4907


7 4907
701 701
1

Prime factors of 4907 are 7,701. Prime factorization of 4907 in exponential form is:

4907 = 71×7011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4907 and 4914.

LCM(4907,4914) = 21×33×71×131×7011
LCM(4907,4914) = 3444714

Factors of 4907

List of positive integer factors of 4907 that divides 4907 without a remainder.

1, 7, 701, 4907

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

Least Common Multiple of 4907 and 4914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4907 and 4914, than apply into the LCM equation.

GCF(4907,4914) = 7
LCM(4907,4914) = ( 4907 × 4914) / 7
LCM(4907,4914) = 24112998 / 7
LCM(4907,4914) = 3444714

Properties of LCM 4907 and 4914

(i) The LCM of 4914 and 4907 is associative

LCM of 4907 and 4914 = LCM of 4914 and 4907

Related Least Common Multiples of 4907

Related Least Common Multiples of 4914

Frequently Asked Questions on LCM of 4907 and 4914

1. What is the LCM of 4907 and 4914?

Answer: LCM of 4907 and 4914 is 3444714.

2. What are the Factors of 4907?

Answer: Factors of 4907 are 1, 7, 701, 4907. There are 4 integers that are factors of 4907. The greatest factor of 4907 is 4907.

3. 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.

4. How to Find the LCM of 4907 and 4914?

Answer:

Least Common Multiple of 4907 and 4914 = 3444714

Step 1: Find the prime factorization of 4907

4907 = 7 x 701

Step 2: Find the prime factorization of 4914

4914 = 2 x 3 x 3 x 3 x 7 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 = 3444714 = 2 x 3 x 3 x 3 x 7 x 13 x 701

Step 4: Therefore, the least common multiple of 4907 and 4914 is 3444714.