Least Common Multiple of 6976 and 6984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6976 and 6984 the smallest integer that is 6090048 that is divisible by both numbers.

Least Common Multiple (LCM) of 6976 and 6984 is 6090048.

LCM(6976,6984) = 6090048

LCM of 6976 and 6984

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

LCM of:
and

Least Common Multiple of 6976 and 6984

LCM of 6976 and 6984 is 6090048

Least common multiple can be found by multiplying the highest exponent prime factors of 6976 and 6984. First we will calculate the prime factors of 6976 and 6984.

Prime Factorization of 6976


2 6976
2 3488
2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 6976 are 2,109. Prime factorization of 6976 in exponential form is:

6976 = 26×1091

Prime Factorization of 6984


2 6984
2 3492
2 1746
3 873
3 291
97 97
1

Prime factors of 6984 are 2, 3,97. Prime factorization of 6984 in exponential form is:

6984 = 23×32×971

Now multiplying the highest exponent prime factors to calculate the LCM of 6976 and 6984.

LCM(6976,6984) = 26×32×971×1091
LCM(6976,6984) = 6090048

Factors of 6976

List of positive integer factors of 6976 that divides 6976 without a remainder.

1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976

Factors of 6984

List of positive integer factors of 6984 that divides 6984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984

Least Common Multiple of 6976 and 6984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6976 and 6984, than apply into the LCM equation.

GCF(6976,6984) = 8
LCM(6976,6984) = ( 6976 × 6984) / 8
LCM(6976,6984) = 48720384 / 8
LCM(6976,6984) = 6090048

Properties of LCM 6976 and 6984

(i) The LCM of 6984 and 6976 is associative

LCM of 6976 and 6984 = LCM of 6984 and 6976

Related Least Common Multiples of 6976

Related Least Common Multiples of 6984

Frequently Asked Questions on LCM of 6976 and 6984

1. What is the LCM of 6976 and 6984?

Answer: LCM of 6976 and 6984 is 6090048.

2. What are the Factors of 6976?

Answer: Factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976. There are 14 integers that are factors of 6976. The greatest factor of 6976 is 6976.

3. What are the Factors of 6984?

Answer: Factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984. There are 24 integers that are factors of 6984. The greatest factor of 6984 is 6984.

4. How to Find the LCM of 6976 and 6984?

Answer:

Least Common Multiple of 6976 and 6984 = 6090048

Step 1: Find the prime factorization of 6976

6976 = 2 x 2 x 2 x 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 6984

6984 = 2 x 2 x 2 x 3 x 3 x 97

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

LCM = 6090048 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 97 x 109

Step 4: Therefore, the least common multiple of 6976 and 6984 is 6090048.