Least Common Multiple of 7953 and 7958

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 7958 the smallest integer that is 63289974 that is divisible by both numbers.

Least Common Multiple (LCM) of 7953 and 7958 is 63289974.

LCM(7953,7958) = 63289974

LCM of 7953 and 7958

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

LCM of:
and

Least Common Multiple of 7953 and 7958

LCM of 7953 and 7958 is 63289974

Least common multiple can be found by multiplying the highest exponent prime factors of 7953 and 7958. First we will calculate the prime factors of 7953 and 7958.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7953 and 7958.

LCM(7953,7958) = 21×31×111×231×1731×2411
LCM(7953,7958) = 63289974

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 7958

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

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

Least Common Multiple of 7953 and 7958 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 7958, than apply into the LCM equation.

GCF(7953,7958) = 1
LCM(7953,7958) = ( 7953 × 7958) / 1
LCM(7953,7958) = 63289974 / 1
LCM(7953,7958) = 63289974

Properties of LCM 7953 and 7958

(i) The LCM of 7958 and 7953 is associative

LCM of 7953 and 7958 = LCM of 7958 and 7953

Related Least Common Multiples of 7953

Related Least Common Multiples of 7958

Frequently Asked Questions on LCM of 7953 and 7958

1. What is the LCM of 7953 and 7958?

Answer: LCM of 7953 and 7958 is 63289974.

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 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.

4. How to Find the LCM of 7953 and 7958?

Answer:

Least Common Multiple of 7953 and 7958 = 63289974

Step 1: Find the prime factorization of 7953

7953 = 3 x 11 x 241

Step 2: Find the prime factorization of 7958

7958 = 2 x 23 x 173

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

LCM = 63289974 = 2 x 3 x 11 x 23 x 173 x 241

Step 4: Therefore, the least common multiple of 7953 and 7958 is 63289974.