Least Common Multiple of 7956 and 7961

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 7961 the smallest integer that is 63337716 that is divisible by both numbers.

Least Common Multiple (LCM) of 7956 and 7961 is 63337716.

LCM(7956,7961) = 63337716

LCM of 7956 and 7961

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

LCM of:
and

Least Common Multiple of 7956 and 7961

LCM of 7956 and 7961 is 63337716

Least common multiple can be found by multiplying the highest exponent prime factors of 7956 and 7961. First we will calculate the prime factors of 7956 and 7961.

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 7961


19 7961
419 419
1

Prime factors of 7961 are 19,419. Prime factorization of 7961 in exponential form is:

7961 = 191×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 7956 and 7961.

LCM(7956,7961) = 22×32×131×171×191×4191
LCM(7956,7961) = 63337716

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 7961

List of positive integer factors of 7961 that divides 7961 without a remainder.

1, 19, 419, 7961

Least Common Multiple of 7956 and 7961 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 7961, than apply into the LCM equation.

GCF(7956,7961) = 1
LCM(7956,7961) = ( 7956 × 7961) / 1
LCM(7956,7961) = 63337716 / 1
LCM(7956,7961) = 63337716

Properties of LCM 7956 and 7961

(i) The LCM of 7961 and 7956 is associative

LCM of 7956 and 7961 = LCM of 7961 and 7956

Related Least Common Multiples of 7956

Related Least Common Multiples of 7961

Frequently Asked Questions on LCM of 7956 and 7961

1. What is the LCM of 7956 and 7961?

Answer: LCM of 7956 and 7961 is 63337716.

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 7961?

Answer: Factors of 7961 are 1, 19, 419, 7961. There are 4 integers that are factors of 7961. The greatest factor of 7961 is 7961.

4. How to Find the LCM of 7956 and 7961?

Answer:

Least Common Multiple of 7956 and 7961 = 63337716

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 7961

7961 = 19 x 419

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

LCM = 63337716 = 2 x 2 x 3 x 3 x 13 x 17 x 19 x 419

Step 4: Therefore, the least common multiple of 7956 and 7961 is 63337716.