Least Common Multiple of 6975 and 6980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6975 and 6980 the smallest integer that is 9737100 that is divisible by both numbers.

Least Common Multiple (LCM) of 6975 and 6980 is 9737100.

LCM(6975,6980) = 9737100

LCM of 6975 and 6980

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

LCM of:
and

Least Common Multiple of 6975 and 6980

LCM of 6975 and 6980 is 9737100

Least common multiple can be found by multiplying the highest exponent prime factors of 6975 and 6980. First we will calculate the prime factors of 6975 and 6980.

Prime Factorization of 6975


3 6975
3 2325
5 775
5 155
31 31
1

Prime factors of 6975 are 3, 5,31. Prime factorization of 6975 in exponential form is:

6975 = 32×52×311

Prime Factorization of 6980


2 6980
2 3490
5 1745
349 349
1

Prime factors of 6980 are 2, 5,349. Prime factorization of 6980 in exponential form is:

6980 = 22×51×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 6975 and 6980.

LCM(6975,6980) = 22×32×52×311×3491
LCM(6975,6980) = 9737100

Factors of 6975

List of positive integer factors of 6975 that divides 6975 without a remainder.

1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975

Factors of 6980

List of positive integer factors of 6980 that divides 6980 without a remainder.

1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980

Least Common Multiple of 6975 and 6980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6975 and 6980, than apply into the LCM equation.

GCF(6975,6980) = 5
LCM(6975,6980) = ( 6975 × 6980) / 5
LCM(6975,6980) = 48685500 / 5
LCM(6975,6980) = 9737100

Properties of LCM 6975 and 6980

(i) The LCM of 6980 and 6975 is associative

LCM of 6975 and 6980 = LCM of 6980 and 6975

Related Least Common Multiples of 6975

Related Least Common Multiples of 6980

Frequently Asked Questions on LCM of 6975 and 6980

1. What is the LCM of 6975 and 6980?

Answer: LCM of 6975 and 6980 is 9737100.

2. What are the Factors of 6975?

Answer: Factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975. There are 18 integers that are factors of 6975. The greatest factor of 6975 is 6975.

3. What are the Factors of 6980?

Answer: Factors of 6980 are 1, 2, 4, 5, 10, 20, 349, 698, 1396, 1745, 3490, 6980. There are 12 integers that are factors of 6980. The greatest factor of 6980 is 6980.

4. How to Find the LCM of 6975 and 6980?

Answer:

Least Common Multiple of 6975 and 6980 = 9737100

Step 1: Find the prime factorization of 6975

6975 = 3 x 3 x 5 x 5 x 31

Step 2: Find the prime factorization of 6980

6980 = 2 x 2 x 5 x 349

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

LCM = 9737100 = 2 x 2 x 3 x 3 x 5 x 5 x 31 x 349

Step 4: Therefore, the least common multiple of 6975 and 6980 is 9737100.