Least Common Multiple of 7958 and 7964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7958 and 7964 the smallest integer that is 31688756 that is divisible by both numbers.

Least Common Multiple (LCM) of 7958 and 7964 is 31688756.

LCM(7958,7964) = 31688756

LCM of 7958 and 7964

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

LCM of:
and

Least Common Multiple of 7958 and 7964

LCM of 7958 and 7964 is 31688756

Least common multiple can be found by multiplying the highest exponent prime factors of 7958 and 7964. First we will calculate the prime factors of 7958 and 7964.

Prime Factorization of 7958


2 7958
23 3979
173 173
1

Prime factors of 7958 are 2, 23,173. Prime factorization of 7958 in exponential form is:

7958 = 21×231×1731

Prime Factorization of 7964


2 7964
2 3982
11 1991
181 181
1

Prime factors of 7964 are 2, 11,181. Prime factorization of 7964 in exponential form is:

7964 = 22×111×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 7958 and 7964.

LCM(7958,7964) = 22×111×231×1731×1811
LCM(7958,7964) = 31688756

Factors of 7958

List of positive integer factors of 7958 that divides 7958 without a remainder.

1, 2, 23, 46, 173, 346, 3979, 7958

Factors of 7964

List of positive integer factors of 7964 that divides 7964 without a remainder.

1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964

Least Common Multiple of 7958 and 7964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7958 and 7964, than apply into the LCM equation.

GCF(7958,7964) = 2
LCM(7958,7964) = ( 7958 × 7964) / 2
LCM(7958,7964) = 63377512 / 2
LCM(7958,7964) = 31688756

Properties of LCM 7958 and 7964

(i) The LCM of 7964 and 7958 is associative

LCM of 7958 and 7964 = LCM of 7964 and 7958

Related Least Common Multiples of 7958

Related Least Common Multiples of 7964

Frequently Asked Questions on LCM of 7958 and 7964

1. What is the LCM of 7958 and 7964?

Answer: LCM of 7958 and 7964 is 31688756.

2. What are the Factors of 7958?

Answer: Factors of 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958. There are 8 integers that are factors of 7958. The greatest factor of 7958 is 7958.

3. What are the Factors of 7964?

Answer: Factors of 7964 are 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964. There are 12 integers that are factors of 7964. The greatest factor of 7964 is 7964.

4. How to Find the LCM of 7958 and 7964?

Answer:

Least Common Multiple of 7958 and 7964 = 31688756

Step 1: Find the prime factorization of 7958

7958 = 2 x 23 x 173

Step 2: Find the prime factorization of 7964

7964 = 2 x 2 x 11 x 181

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

LCM = 31688756 = 2 x 2 x 11 x 23 x 173 x 181

Step 4: Therefore, the least common multiple of 7958 and 7964 is 31688756.