Least Common Multiple of 6957 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 6957 and 6965 the smallest integer that is 48455505 that is divisible by both numbers.

Least Common Multiple (LCM) of 6957 and 6965 is 48455505.

LCM(6957,6965) = 48455505

LCM of 6957 and 6965

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

LCM of:
and

Least Common Multiple of 6957 and 6965

LCM of 6957 and 6965 is 48455505

Least common multiple can be found by multiplying the highest exponent prime factors of 6957 and 6965. First we will calculate the prime factors of 6957 and 6965.

Prime Factorization of 6957


3 6957
3 2319
773 773
1

Prime factors of 6957 are 3,773. Prime factorization of 6957 in exponential form is:

6957 = 32×7731

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 6957 and 6965.

LCM(6957,6965) = 32×51×71×1991×7731
LCM(6957,6965) = 48455505

Factors of 6957

List of positive integer factors of 6957 that divides 6957 without a remainder.

1, 3, 9, 773, 2319, 6957

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 6957 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 6957 and 6965, than apply into the LCM equation.

GCF(6957,6965) = 1
LCM(6957,6965) = ( 6957 × 6965) / 1
LCM(6957,6965) = 48455505 / 1
LCM(6957,6965) = 48455505

Properties of LCM 6957 and 6965

(i) The LCM of 6965 and 6957 is associative

LCM of 6957 and 6965 = LCM of 6965 and 6957

Related Least Common Multiples of 6957

Related Least Common Multiples of 6965

Frequently Asked Questions on LCM of 6957 and 6965

1. What is the LCM of 6957 and 6965?

Answer: LCM of 6957 and 6965 is 48455505.

2. What are the Factors of 6957?

Answer: Factors of 6957 are 1, 3, 9, 773, 2319, 6957. There are 6 integers that are factors of 6957. The greatest factor of 6957 is 6957.

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 6957 and 6965?

Answer:

Least Common Multiple of 6957 and 6965 = 48455505

Step 1: Find the prime factorization of 6957

6957 = 3 x 3 x 773

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 = 48455505 = 3 x 3 x 5 x 7 x 199 x 773

Step 4: Therefore, the least common multiple of 6957 and 6965 is 48455505.