Least Common Multiple of 6964 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 6964 and 6971 the smallest integer that is 48546044 that is divisible by both numbers.

Least Common Multiple (LCM) of 6964 and 6971 is 48546044.

LCM(6964,6971) = 48546044

LCM of 6964 and 6971

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

LCM of:
and

Least Common Multiple of 6964 and 6971

LCM of 6964 and 6971 is 48546044

Least common multiple can be found by multiplying the highest exponent prime factors of 6964 and 6971. First we will calculate the prime factors of 6964 and 6971.

Prime Factorization of 6964


2 6964
2 3482
1741 1741
1

Prime factors of 6964 are 2,1741. Prime factorization of 6964 in exponential form is:

6964 = 22×17411

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 6964 and 6971.

LCM(6964,6971) = 22×17411×69711
LCM(6964,6971) = 48546044

Factors of 6964

List of positive integer factors of 6964 that divides 6964 without a remainder.

1, 2, 4, 1741, 3482, 6964

Factors of 6971

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

1, 6971

Least Common Multiple of 6964 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 6964 and 6971, than apply into the LCM equation.

GCF(6964,6971) = 1
LCM(6964,6971) = ( 6964 × 6971) / 1
LCM(6964,6971) = 48546044 / 1
LCM(6964,6971) = 48546044

Properties of LCM 6964 and 6971

(i) The LCM of 6971 and 6964 is associative

LCM of 6964 and 6971 = LCM of 6971 and 6964

Related Least Common Multiples of 6964

Related Least Common Multiples of 6971

Frequently Asked Questions on LCM of 6964 and 6971

1. What is the LCM of 6964 and 6971?

Answer: LCM of 6964 and 6971 is 48546044.

2. What are the Factors of 6964?

Answer: Factors of 6964 are 1, 2, 4, 1741, 3482, 6964. There are 6 integers that are factors of 6964. The greatest factor of 6964 is 6964.

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 6964 and 6971?

Answer:

Least Common Multiple of 6964 and 6971 = 48546044

Step 1: Find the prime factorization of 6964

6964 = 2 x 2 x 1741

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 = 48546044 = 2 x 2 x 1741 x 6971

Step 4: Therefore, the least common multiple of 6964 and 6971 is 48546044.