Least Common Multiple of 976 and 983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 976 and 983 the smallest integer that is 959408 that is divisible by both numbers.

Least Common Multiple (LCM) of 976 and 983 is 959408.

LCM(976,983) = 959408

LCM of 976 and 983

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

LCM of:
and

Least Common Multiple of 976 and 983

LCM of 976 and 983 is 959408

Least common multiple can be found by multiplying the highest exponent prime factors of 976 and 983. First we will calculate the prime factors of 976 and 983.

Prime Factorization of 976


2 976
2 488
2 244
2 122
61 61
1

Prime factors of 976 are 2,61. Prime factorization of 976 in exponential form is:

976 = 24×611

Prime Factorization of 983


983 983
1

Prime factors of 983 are 983. Prime factorization of 983 in exponential form is:

983 = 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 976 and 983.

LCM(976,983) = 24×611×9831
LCM(976,983) = 959408

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1, 983

Least Common Multiple of 976 and 983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 976 and 983, than apply into the LCM equation.

GCF(976,983) = 1
LCM(976,983) = ( 976 × 983) / 1
LCM(976,983) = 959408 / 1
LCM(976,983) = 959408

Properties of LCM 976 and 983

(i) The LCM of 983 and 976 is associative

LCM of 976 and 983 = LCM of 983 and 976

Related Least Common Multiples of 976

Related Least Common Multiples of 983

Frequently Asked Questions on LCM of 976 and 983

1. What is the LCM of 976 and 983?

Answer: LCM of 976 and 983 is 959408.

2. What are the Factors of 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

3. What are the Factors of 983?

Answer: Factors of 983 are 1, 983. There are 2 integers that are factors of 983. The greatest factor of 983 is 983.

4. How to Find the LCM of 976 and 983?

Answer:

Least Common Multiple of 976 and 983 = 959408

Step 1: Find the prime factorization of 976

976 = 2 x 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 983

983 = 983

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

LCM = 959408 = 2 x 2 x 2 x 2 x 61 x 983

Step 4: Therefore, the least common multiple of 976 and 983 is 959408.