Least Common Multiple of 7956 and 7962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7956 and 7962 the smallest integer that is 10557612 that is divisible by both numbers.

Least Common Multiple (LCM) of 7956 and 7962 is 10557612.

LCM(7956,7962) = 10557612

LCM of 7956 and 7962

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

LCM of:
and

Least Common Multiple of 7956 and 7962

LCM of 7956 and 7962 is 10557612

Least common multiple can be found by multiplying the highest exponent prime factors of 7956 and 7962. First we will calculate the prime factors of 7956 and 7962.

Prime Factorization of 7956


2 7956
2 3978
3 1989
3 663
13 221
17 17
1

Prime factors of 7956 are 2, 3, 13,17. Prime factorization of 7956 in exponential form is:

7956 = 22×32×131×171

Prime Factorization of 7962


2 7962
3 3981
1327 1327
1

Prime factors of 7962 are 2, 3,1327. Prime factorization of 7962 in exponential form is:

7962 = 21×31×13271

Now multiplying the highest exponent prime factors to calculate the LCM of 7956 and 7962.

LCM(7956,7962) = 22×32×131×171×13271
LCM(7956,7962) = 10557612

Factors of 7956

List of positive integer factors of 7956 that divides 7956 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956

Factors of 7962

List of positive integer factors of 7962 that divides 7962 without a remainder.

1, 2, 3, 6, 1327, 2654, 3981, 7962

Least Common Multiple of 7956 and 7962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7956 and 7962, than apply into the LCM equation.

GCF(7956,7962) = 6
LCM(7956,7962) = ( 7956 × 7962) / 6
LCM(7956,7962) = 63345672 / 6
LCM(7956,7962) = 10557612

Properties of LCM 7956 and 7962

(i) The LCM of 7962 and 7956 is associative

LCM of 7956 and 7962 = LCM of 7962 and 7956

Related Least Common Multiples of 7956

Related Least Common Multiples of 7962

Frequently Asked Questions on LCM of 7956 and 7962

1. What is the LCM of 7956 and 7962?

Answer: LCM of 7956 and 7962 is 10557612.

2. What are the Factors of 7956?

Answer: Factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956. There are 36 integers that are factors of 7956. The greatest factor of 7956 is 7956.

3. What are the Factors of 7962?

Answer: Factors of 7962 are 1, 2, 3, 6, 1327, 2654, 3981, 7962. There are 8 integers that are factors of 7962. The greatest factor of 7962 is 7962.

4. How to Find the LCM of 7956 and 7962?

Answer:

Least Common Multiple of 7956 and 7962 = 10557612

Step 1: Find the prime factorization of 7956

7956 = 2 x 2 x 3 x 3 x 13 x 17

Step 2: Find the prime factorization of 7962

7962 = 2 x 3 x 1327

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

LCM = 10557612 = 2 x 2 x 3 x 3 x 13 x 17 x 1327

Step 4: Therefore, the least common multiple of 7956 and 7962 is 10557612.