Least Common Multiple of 6964 and 6969

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 6969 the smallest integer that is 48532116 that is divisible by both numbers.

Least Common Multiple (LCM) of 6964 and 6969 is 48532116.

LCM(6964,6969) = 48532116

LCM of 6964 and 6969

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

LCM of:
and

Least Common Multiple of 6964 and 6969

LCM of 6964 and 6969 is 48532116

Least common multiple can be found by multiplying the highest exponent prime factors of 6964 and 6969. First we will calculate the prime factors of 6964 and 6969.

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 6969


3 6969
23 2323
101 101
1

Prime factors of 6969 are 3, 23,101. Prime factorization of 6969 in exponential form is:

6969 = 31×231×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6964 and 6969.

LCM(6964,6969) = 22×31×231×1011×17411
LCM(6964,6969) = 48532116

Factors of 6964

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

1, 2, 4, 1741, 3482, 6964

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1, 3, 23, 69, 101, 303, 2323, 6969

Least Common Multiple of 6964 and 6969 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 6969, than apply into the LCM equation.

GCF(6964,6969) = 1
LCM(6964,6969) = ( 6964 × 6969) / 1
LCM(6964,6969) = 48532116 / 1
LCM(6964,6969) = 48532116

Properties of LCM 6964 and 6969

(i) The LCM of 6969 and 6964 is associative

LCM of 6964 and 6969 = LCM of 6969 and 6964

Related Least Common Multiples of 6964

Related Least Common Multiples of 6969

Frequently Asked Questions on LCM of 6964 and 6969

1. What is the LCM of 6964 and 6969?

Answer: LCM of 6964 and 6969 is 48532116.

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 6969?

Answer: Factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969. There are 8 integers that are factors of 6969. The greatest factor of 6969 is 6969.

4. How to Find the LCM of 6964 and 6969?

Answer:

Least Common Multiple of 6964 and 6969 = 48532116

Step 1: Find the prime factorization of 6964

6964 = 2 x 2 x 1741

Step 2: Find the prime factorization of 6969

6969 = 3 x 23 x 101

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

LCM = 48532116 = 2 x 2 x 3 x 23 x 101 x 1741

Step 4: Therefore, the least common multiple of 6964 and 6969 is 48532116.