Least Common Multiple of 6958 and 6965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6958 and 6965 the smallest integer that is 6923210 that is divisible by both numbers.

Least Common Multiple (LCM) of 6958 and 6965 is 6923210.

LCM(6958,6965) = 6923210

LCM of 6958 and 6965

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

LCM of:
and

Least Common Multiple of 6958 and 6965

LCM of 6958 and 6965 is 6923210

Least common multiple can be found by multiplying the highest exponent prime factors of 6958 and 6965. First we will calculate the prime factors of 6958 and 6965.

Prime Factorization of 6958


2 6958
7 3479
7 497
71 71
1

Prime factors of 6958 are 2, 7,71. Prime factorization of 6958 in exponential form is:

6958 = 21×72×711

Prime Factorization of 6965


5 6965
7 1393
199 199
1

Prime factors of 6965 are 5, 7,199. Prime factorization of 6965 in exponential form is:

6965 = 51×71×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 6958 and 6965.

LCM(6958,6965) = 21×51×72×711×1991
LCM(6958,6965) = 6923210

Factors of 6958

List of positive integer factors of 6958 that divides 6958 without a remainder.

1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958

Factors of 6965

List of positive integer factors of 6965 that divides 6965 without a remainder.

1, 5, 7, 35, 199, 995, 1393, 6965

Least Common Multiple of 6958 and 6965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6958 and 6965, than apply into the LCM equation.

GCF(6958,6965) = 7
LCM(6958,6965) = ( 6958 × 6965) / 7
LCM(6958,6965) = 48462470 / 7
LCM(6958,6965) = 6923210

Properties of LCM 6958 and 6965

(i) The LCM of 6965 and 6958 is associative

LCM of 6958 and 6965 = LCM of 6965 and 6958

Related Least Common Multiples of 6958

Related Least Common Multiples of 6965

Frequently Asked Questions on LCM of 6958 and 6965

1. What is the LCM of 6958 and 6965?

Answer: LCM of 6958 and 6965 is 6923210.

2. What are the Factors of 6958?

Answer: Factors of 6958 are 1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958. There are 12 integers that are factors of 6958. The greatest factor of 6958 is 6958.

3. What are the Factors of 6965?

Answer: Factors of 6965 are 1, 5, 7, 35, 199, 995, 1393, 6965. There are 8 integers that are factors of 6965. The greatest factor of 6965 is 6965.

4. How to Find the LCM of 6958 and 6965?

Answer:

Least Common Multiple of 6958 and 6965 = 6923210

Step 1: Find the prime factorization of 6958

6958 = 2 x 7 x 7 x 71

Step 2: Find the prime factorization of 6965

6965 = 5 x 7 x 199

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

LCM = 6923210 = 2 x 5 x 7 x 7 x 71 x 199

Step 4: Therefore, the least common multiple of 6958 and 6965 is 6923210.