Least Common Multiple of 2953 and 2959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2953 and 2959 the smallest integer that is 8737927 that is divisible by both numbers.

Least Common Multiple (LCM) of 2953 and 2959 is 8737927.

LCM(2953,2959) = 8737927

LCM of 2953 and 2959

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

LCM of:
and

Least Common Multiple of 2953 and 2959

LCM of 2953 and 2959 is 8737927

Least common multiple can be found by multiplying the highest exponent prime factors of 2953 and 2959. First we will calculate the prime factors of 2953 and 2959.

Prime Factorization of 2953


2953 2953
1

Prime factors of 2953 are 2953. Prime factorization of 2953 in exponential form is:

2953 = 29531

Prime Factorization of 2959


11 2959
269 269
1

Prime factors of 2959 are 11,269. Prime factorization of 2959 in exponential form is:

2959 = 111×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 2953 and 2959.

LCM(2953,2959) = 111×2691×29531
LCM(2953,2959) = 8737927

Factors of 2953

List of positive integer factors of 2953 that divides 2953 without a remainder.

1, 2953

Factors of 2959

List of positive integer factors of 2959 that divides 2959 without a remainder.

1, 11, 269, 2959

Least Common Multiple of 2953 and 2959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2953 and 2959, than apply into the LCM equation.

GCF(2953,2959) = 1
LCM(2953,2959) = ( 2953 × 2959) / 1
LCM(2953,2959) = 8737927 / 1
LCM(2953,2959) = 8737927

Properties of LCM 2953 and 2959

(i) The LCM of 2959 and 2953 is associative

LCM of 2953 and 2959 = LCM of 2959 and 2953

Related Least Common Multiples of 2953

Related Least Common Multiples of 2959

Frequently Asked Questions on LCM of 2953 and 2959

1. What is the LCM of 2953 and 2959?

Answer: LCM of 2953 and 2959 is 8737927.

2. What are the Factors of 2953?

Answer: Factors of 2953 are 1, 2953. There are 2 integers that are factors of 2953. The greatest factor of 2953 is 2953.

3. What are the Factors of 2959?

Answer: Factors of 2959 are 1, 11, 269, 2959. There are 4 integers that are factors of 2959. The greatest factor of 2959 is 2959.

4. How to Find the LCM of 2953 and 2959?

Answer:

Least Common Multiple of 2953 and 2959 = 8737927

Step 1: Find the prime factorization of 2953

2953 = 2953

Step 2: Find the prime factorization of 2959

2959 = 11 x 269

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

LCM = 8737927 = 11 x 269 x 2953

Step 4: Therefore, the least common multiple of 2953 and 2959 is 8737927.