Least Common Multiple of 7959 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 7959 and 7962 the smallest integer that is 21123186 that is divisible by both numbers.

Least Common Multiple (LCM) of 7959 and 7962 is 21123186.

LCM(7959,7962) = 21123186

LCM of 7959 and 7962

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

LCM of:
and

Least Common Multiple of 7959 and 7962

LCM of 7959 and 7962 is 21123186

Least common multiple can be found by multiplying the highest exponent prime factors of 7959 and 7962. First we will calculate the prime factors of 7959 and 7962.

Prime Factorization of 7959


3 7959
7 2653
379 379
1

Prime factors of 7959 are 3, 7,379. Prime factorization of 7959 in exponential form is:

7959 = 31×71×3791

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 7959 and 7962.

LCM(7959,7962) = 21×31×71×3791×13271
LCM(7959,7962) = 21123186

Factors of 7959

List of positive integer factors of 7959 that divides 7959 without a remainder.

1, 3, 7, 21, 379, 1137, 2653, 7959

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 7959 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 7959 and 7962, than apply into the LCM equation.

GCF(7959,7962) = 3
LCM(7959,7962) = ( 7959 × 7962) / 3
LCM(7959,7962) = 63369558 / 3
LCM(7959,7962) = 21123186

Properties of LCM 7959 and 7962

(i) The LCM of 7962 and 7959 is associative

LCM of 7959 and 7962 = LCM of 7962 and 7959

Related Least Common Multiples of 7959

Related Least Common Multiples of 7962

Frequently Asked Questions on LCM of 7959 and 7962

1. What is the LCM of 7959 and 7962?

Answer: LCM of 7959 and 7962 is 21123186.

2. What are the Factors of 7959?

Answer: Factors of 7959 are 1, 3, 7, 21, 379, 1137, 2653, 7959. There are 8 integers that are factors of 7959. The greatest factor of 7959 is 7959.

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 7959 and 7962?

Answer:

Least Common Multiple of 7959 and 7962 = 21123186

Step 1: Find the prime factorization of 7959

7959 = 3 x 7 x 379

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 = 21123186 = 2 x 3 x 7 x 379 x 1327

Step 4: Therefore, the least common multiple of 7959 and 7962 is 21123186.