Least Common Multiple of 7962 and 7968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7962 and 7968 the smallest integer that is 10573536 that is divisible by both numbers.

Least Common Multiple (LCM) of 7962 and 7968 is 10573536.

LCM(7962,7968) = 10573536

LCM of 7962 and 7968

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

LCM of:
and

Least Common Multiple of 7962 and 7968

LCM of 7962 and 7968 is 10573536

Least common multiple can be found by multiplying the highest exponent prime factors of 7962 and 7968. First we will calculate the prime factors of 7962 and 7968.

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

Prime Factorization of 7968


2 7968
2 3984
2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 7968 are 2, 3,83. Prime factorization of 7968 in exponential form is:

7968 = 25×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7962 and 7968.

LCM(7962,7968) = 25×31×831×13271
LCM(7962,7968) = 10573536

Factors of 7962

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

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

Factors of 7968

List of positive integer factors of 7968 that divides 7968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968

Least Common Multiple of 7962 and 7968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7962 and 7968, than apply into the LCM equation.

GCF(7962,7968) = 6
LCM(7962,7968) = ( 7962 × 7968) / 6
LCM(7962,7968) = 63441216 / 6
LCM(7962,7968) = 10573536

Properties of LCM 7962 and 7968

(i) The LCM of 7968 and 7962 is associative

LCM of 7962 and 7968 = LCM of 7968 and 7962

Related Least Common Multiples of 7962

Related Least Common Multiples of 7968

Frequently Asked Questions on LCM of 7962 and 7968

1. What is the LCM of 7962 and 7968?

Answer: LCM of 7962 and 7968 is 10573536.

2. 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.

3. What are the Factors of 7968?

Answer: Factors of 7968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968. There are 24 integers that are factors of 7968. The greatest factor of 7968 is 7968.

4. How to Find the LCM of 7962 and 7968?

Answer:

Least Common Multiple of 7962 and 7968 = 10573536

Step 1: Find the prime factorization of 7962

7962 = 2 x 3 x 1327

Step 2: Find the prime factorization of 7968

7968 = 2 x 2 x 2 x 2 x 2 x 3 x 83

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

LCM = 10573536 = 2 x 2 x 2 x 2 x 2 x 3 x 83 x 1327

Step 4: Therefore, the least common multiple of 7962 and 7968 is 10573536.