Least Common Multiple of 4953 and 4959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4953 and 4959 the smallest integer that is 8187309 that is divisible by both numbers.

Least Common Multiple (LCM) of 4953 and 4959 is 8187309.

LCM(4953,4959) = 8187309

LCM of 4953 and 4959

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

LCM of:
and

Least Common Multiple of 4953 and 4959

LCM of 4953 and 4959 is 8187309

Least common multiple can be found by multiplying the highest exponent prime factors of 4953 and 4959. First we will calculate the prime factors of 4953 and 4959.

Prime Factorization of 4953


3 4953
13 1651
127 127
1

Prime factors of 4953 are 3, 13,127. Prime factorization of 4953 in exponential form is:

4953 = 31×131×1271

Prime Factorization of 4959


3 4959
3 1653
19 551
29 29
1

Prime factors of 4959 are 3, 19,29. Prime factorization of 4959 in exponential form is:

4959 = 32×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4953 and 4959.

LCM(4953,4959) = 32×131×191×291×1271
LCM(4953,4959) = 8187309

Factors of 4953

List of positive integer factors of 4953 that divides 4953 without a remainder.

1, 3, 13, 39, 127, 381, 1651, 4953

Factors of 4959

List of positive integer factors of 4959 that divides 4959 without a remainder.

1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959

Least Common Multiple of 4953 and 4959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4953 and 4959, than apply into the LCM equation.

GCF(4953,4959) = 3
LCM(4953,4959) = ( 4953 × 4959) / 3
LCM(4953,4959) = 24561927 / 3
LCM(4953,4959) = 8187309

Properties of LCM 4953 and 4959

(i) The LCM of 4959 and 4953 is associative

LCM of 4953 and 4959 = LCM of 4959 and 4953

Related Least Common Multiples of 4953

Related Least Common Multiples of 4959

Frequently Asked Questions on LCM of 4953 and 4959

1. What is the LCM of 4953 and 4959?

Answer: LCM of 4953 and 4959 is 8187309.

2. What are the Factors of 4953?

Answer: Factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953. There are 8 integers that are factors of 4953. The greatest factor of 4953 is 4953.

3. What are the Factors of 4959?

Answer: Factors of 4959 are 1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959. There are 12 integers that are factors of 4959. The greatest factor of 4959 is 4959.

4. How to Find the LCM of 4953 and 4959?

Answer:

Least Common Multiple of 4953 and 4959 = 8187309

Step 1: Find the prime factorization of 4953

4953 = 3 x 13 x 127

Step 2: Find the prime factorization of 4959

4959 = 3 x 3 x 19 x 29

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

LCM = 8187309 = 3 x 3 x 13 x 19 x 29 x 127

Step 4: Therefore, the least common multiple of 4953 and 4959 is 8187309.