Least Common Multiple of 6965 and 6971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6965 and 6971 the smallest integer that is 48553015 that is divisible by both numbers.

Least Common Multiple (LCM) of 6965 and 6971 is 48553015.

LCM(6965,6971) = 48553015

LCM of 6965 and 6971

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

LCM of:
and

Least Common Multiple of 6965 and 6971

LCM of 6965 and 6971 is 48553015

Least common multiple can be found by multiplying the highest exponent prime factors of 6965 and 6971. First we will calculate the prime factors of 6965 and 6971.

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

Prime Factorization of 6971


6971 6971
1

Prime factors of 6971 are 6971. Prime factorization of 6971 in exponential form is:

6971 = 69711

Now multiplying the highest exponent prime factors to calculate the LCM of 6965 and 6971.

LCM(6965,6971) = 51×71×1991×69711
LCM(6965,6971) = 48553015

Factors of 6965

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

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

Factors of 6971

List of positive integer factors of 6971 that divides 6971 without a remainder.

1, 6971

Least Common Multiple of 6965 and 6971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6965 and 6971, than apply into the LCM equation.

GCF(6965,6971) = 1
LCM(6965,6971) = ( 6965 × 6971) / 1
LCM(6965,6971) = 48553015 / 1
LCM(6965,6971) = 48553015

Properties of LCM 6965 and 6971

(i) The LCM of 6971 and 6965 is associative

LCM of 6965 and 6971 = LCM of 6971 and 6965

Related Least Common Multiples of 6965

Related Least Common Multiples of 6971

Frequently Asked Questions on LCM of 6965 and 6971

1. What is the LCM of 6965 and 6971?

Answer: LCM of 6965 and 6971 is 48553015.

2. 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.

3. What are the Factors of 6971?

Answer: Factors of 6971 are 1, 6971. There are 2 integers that are factors of 6971. The greatest factor of 6971 is 6971.

4. How to Find the LCM of 6965 and 6971?

Answer:

Least Common Multiple of 6965 and 6971 = 48553015

Step 1: Find the prime factorization of 6965

6965 = 5 x 7 x 199

Step 2: Find the prime factorization of 6971

6971 = 6971

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

LCM = 48553015 = 5 x 7 x 199 x 6971

Step 4: Therefore, the least common multiple of 6965 and 6971 is 48553015.