Least Common Multiple of 6961 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 6961 and 6965 the smallest integer that is 48483365 that is divisible by both numbers.

Least Common Multiple (LCM) of 6961 and 6965 is 48483365.

LCM(6961,6965) = 48483365

LCM of 6961 and 6965

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

LCM of:
and

Least Common Multiple of 6961 and 6965

LCM of 6961 and 6965 is 48483365

Least common multiple can be found by multiplying the highest exponent prime factors of 6961 and 6965. First we will calculate the prime factors of 6961 and 6965.

Prime Factorization of 6961


6961 6961
1

Prime factors of 6961 are 6961. Prime factorization of 6961 in exponential form is:

6961 = 69611

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 6961 and 6965.

LCM(6961,6965) = 51×71×1991×69611
LCM(6961,6965) = 48483365

Factors of 6961

List of positive integer factors of 6961 that divides 6961 without a remainder.

1, 6961

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 6961 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 6961 and 6965, than apply into the LCM equation.

GCF(6961,6965) = 1
LCM(6961,6965) = ( 6961 × 6965) / 1
LCM(6961,6965) = 48483365 / 1
LCM(6961,6965) = 48483365

Properties of LCM 6961 and 6965

(i) The LCM of 6965 and 6961 is associative

LCM of 6961 and 6965 = LCM of 6965 and 6961

Related Least Common Multiples of 6961

Related Least Common Multiples of 6965

Frequently Asked Questions on LCM of 6961 and 6965

1. What is the LCM of 6961 and 6965?

Answer: LCM of 6961 and 6965 is 48483365.

2. What are the Factors of 6961?

Answer: Factors of 6961 are 1, 6961. There are 2 integers that are factors of 6961. The greatest factor of 6961 is 6961.

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 6961 and 6965?

Answer:

Least Common Multiple of 6961 and 6965 = 48483365

Step 1: Find the prime factorization of 6961

6961 = 6961

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 = 48483365 = 5 x 7 x 199 x 6961

Step 4: Therefore, the least common multiple of 6961 and 6965 is 48483365.