Least Common Multiple of 7953 and 7959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7953 and 7959 the smallest integer that is 21099309 that is divisible by both numbers.

Least Common Multiple (LCM) of 7953 and 7959 is 21099309.

LCM(7953,7959) = 21099309

LCM of 7953 and 7959

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

LCM of:
and

Least Common Multiple of 7953 and 7959

LCM of 7953 and 7959 is 21099309

Least common multiple can be found by multiplying the highest exponent prime factors of 7953 and 7959. First we will calculate the prime factors of 7953 and 7959.

Prime Factorization of 7953


3 7953
11 2651
241 241
1

Prime factors of 7953 are 3, 11,241. Prime factorization of 7953 in exponential form is:

7953 = 31×111×2411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7953 and 7959.

LCM(7953,7959) = 31×71×111×2411×3791
LCM(7953,7959) = 21099309

Factors of 7953

List of positive integer factors of 7953 that divides 7953 without a remainder.

1, 3, 11, 33, 241, 723, 2651, 7953

Factors of 7959

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

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

Least Common Multiple of 7953 and 7959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7953 and 7959, than apply into the LCM equation.

GCF(7953,7959) = 3
LCM(7953,7959) = ( 7953 × 7959) / 3
LCM(7953,7959) = 63297927 / 3
LCM(7953,7959) = 21099309

Properties of LCM 7953 and 7959

(i) The LCM of 7959 and 7953 is associative

LCM of 7953 and 7959 = LCM of 7959 and 7953

Related Least Common Multiples of 7953

Related Least Common Multiples of 7959

Frequently Asked Questions on LCM of 7953 and 7959

1. What is the LCM of 7953 and 7959?

Answer: LCM of 7953 and 7959 is 21099309.

2. What are the Factors of 7953?

Answer: Factors of 7953 are 1, 3, 11, 33, 241, 723, 2651, 7953. There are 8 integers that are factors of 7953. The greatest factor of 7953 is 7953.

3. 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.

4. How to Find the LCM of 7953 and 7959?

Answer:

Least Common Multiple of 7953 and 7959 = 21099309

Step 1: Find the prime factorization of 7953

7953 = 3 x 11 x 241

Step 2: Find the prime factorization of 7959

7959 = 3 x 7 x 379

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

LCM = 21099309 = 3 x 7 x 11 x 241 x 379

Step 4: Therefore, the least common multiple of 7953 and 7959 is 21099309.