Least Common Multiple of 2956 and 2964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2956 and 2964 the smallest integer that is 2190396 that is divisible by both numbers.

Least Common Multiple (LCM) of 2956 and 2964 is 2190396.

LCM(2956,2964) = 2190396

LCM of 2956 and 2964

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

LCM of:
and

Least Common Multiple of 2956 and 2964

LCM of 2956 and 2964 is 2190396

Least common multiple can be found by multiplying the highest exponent prime factors of 2956 and 2964. First we will calculate the prime factors of 2956 and 2964.

Prime Factorization of 2956


2 2956
2 1478
739 739
1

Prime factors of 2956 are 2,739. Prime factorization of 2956 in exponential form is:

2956 = 22×7391

Prime Factorization of 2964


2 2964
2 1482
3 741
13 247
19 19
1

Prime factors of 2964 are 2, 3, 13,19. Prime factorization of 2964 in exponential form is:

2964 = 22×31×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2956 and 2964.

LCM(2956,2964) = 22×31×131×191×7391
LCM(2956,2964) = 2190396

Factors of 2956

List of positive integer factors of 2956 that divides 2956 without a remainder.

1, 2, 4, 739, 1478, 2956

Factors of 2964

List of positive integer factors of 2964 that divides 2964 without a remainder.

1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964

Least Common Multiple of 2956 and 2964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2956 and 2964, than apply into the LCM equation.

GCF(2956,2964) = 4
LCM(2956,2964) = ( 2956 × 2964) / 4
LCM(2956,2964) = 8761584 / 4
LCM(2956,2964) = 2190396

Properties of LCM 2956 and 2964

(i) The LCM of 2964 and 2956 is associative

LCM of 2956 and 2964 = LCM of 2964 and 2956

Related Least Common Multiples of 2956

Related Least Common Multiples of 2964

Frequently Asked Questions on LCM of 2956 and 2964

1. What is the LCM of 2956 and 2964?

Answer: LCM of 2956 and 2964 is 2190396.

2. What are the Factors of 2956?

Answer: Factors of 2956 are 1, 2, 4, 739, 1478, 2956. There are 6 integers that are factors of 2956. The greatest factor of 2956 is 2956.

3. What are the Factors of 2964?

Answer: Factors of 2964 are 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964. There are 24 integers that are factors of 2964. The greatest factor of 2964 is 2964.

4. How to Find the LCM of 2956 and 2964?

Answer:

Least Common Multiple of 2956 and 2964 = 2190396

Step 1: Find the prime factorization of 2956

2956 = 2 x 2 x 739

Step 2: Find the prime factorization of 2964

2964 = 2 x 2 x 3 x 13 x 19

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

LCM = 2190396 = 2 x 2 x 3 x 13 x 19 x 739

Step 4: Therefore, the least common multiple of 2956 and 2964 is 2190396.