Least Common Multiple of 6976 and 6983

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 6983 the smallest integer that is 48713408 that is divisible by both numbers.

Least Common Multiple (LCM) of 6976 and 6983 is 48713408.

LCM(6976,6983) = 48713408

LCM of 6976 and 6983

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

LCM of:
and

Least Common Multiple of 6976 and 6983

LCM of 6976 and 6983 is 48713408

Least common multiple can be found by multiplying the highest exponent prime factors of 6976 and 6983. First we will calculate the prime factors of 6976 and 6983.

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 6983


6983 6983
1

Prime factors of 6983 are 6983. Prime factorization of 6983 in exponential form is:

6983 = 69831

Now multiplying the highest exponent prime factors to calculate the LCM of 6976 and 6983.

LCM(6976,6983) = 26×1091×69831
LCM(6976,6983) = 48713408

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 6983

List of positive integer factors of 6983 that divides 6983 without a remainder.

1, 6983

Least Common Multiple of 6976 and 6983 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 6983, than apply into the LCM equation.

GCF(6976,6983) = 1
LCM(6976,6983) = ( 6976 × 6983) / 1
LCM(6976,6983) = 48713408 / 1
LCM(6976,6983) = 48713408

Properties of LCM 6976 and 6983

(i) The LCM of 6983 and 6976 is associative

LCM of 6976 and 6983 = LCM of 6983 and 6976

Related Least Common Multiples of 6976

Related Least Common Multiples of 6983

Frequently Asked Questions on LCM of 6976 and 6983

1. What is the LCM of 6976 and 6983?

Answer: LCM of 6976 and 6983 is 48713408.

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 6983?

Answer: Factors of 6983 are 1, 6983. There are 2 integers that are factors of 6983. The greatest factor of 6983 is 6983.

4. How to Find the LCM of 6976 and 6983?

Answer:

Least Common Multiple of 6976 and 6983 = 48713408

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 6983

6983 = 6983

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

LCM = 48713408 = 2 x 2 x 2 x 2 x 2 x 2 x 109 x 6983

Step 4: Therefore, the least common multiple of 6976 and 6983 is 48713408.