Least Common Multiple of 7950 and 7956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7950 and 7956 the smallest integer that is 10541700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7950 and 7956 is 10541700.

LCM(7950,7956) = 10541700

LCM of 7950 and 7956

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

LCM of:
and

Least Common Multiple of 7950 and 7956

LCM of 7950 and 7956 is 10541700

Least common multiple can be found by multiplying the highest exponent prime factors of 7950 and 7956. First we will calculate the prime factors of 7950 and 7956.

Prime Factorization of 7950


2 7950
3 3975
5 1325
5 265
53 53
1

Prime factors of 7950 are 2, 3, 5,53. Prime factorization of 7950 in exponential form is:

7950 = 21×31×52×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7950 and 7956.

LCM(7950,7956) = 22×32×52×131×171×531
LCM(7950,7956) = 10541700

Factors of 7950

List of positive integer factors of 7950 that divides 7950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950

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

Least Common Multiple of 7950 and 7956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7950 and 7956, than apply into the LCM equation.

GCF(7950,7956) = 6
LCM(7950,7956) = ( 7950 × 7956) / 6
LCM(7950,7956) = 63250200 / 6
LCM(7950,7956) = 10541700

Properties of LCM 7950 and 7956

(i) The LCM of 7956 and 7950 is associative

LCM of 7950 and 7956 = LCM of 7956 and 7950

Related Least Common Multiples of 7950

Related Least Common Multiples of 7956

Frequently Asked Questions on LCM of 7950 and 7956

1. What is the LCM of 7950 and 7956?

Answer: LCM of 7950 and 7956 is 10541700.

2. What are the Factors of 7950?

Answer: Factors of 7950 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950. There are 24 integers that are factors of 7950. The greatest factor of 7950 is 7950.

3. 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.

4. How to Find the LCM of 7950 and 7956?

Answer:

Least Common Multiple of 7950 and 7956 = 10541700

Step 1: Find the prime factorization of 7950

7950 = 2 x 3 x 5 x 5 x 53

Step 2: Find the prime factorization of 7956

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

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

LCM = 10541700 = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 17 x 53

Step 4: Therefore, the least common multiple of 7950 and 7956 is 10541700.