Least Common Multiple of 976 and 982

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 982 the smallest integer that is 479216 that is divisible by both numbers.

Least Common Multiple (LCM) of 976 and 982 is 479216.

LCM(976,982) = 479216

LCM of 976 and 982

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

LCM of:
and

Least Common Multiple of 976 and 982

LCM of 976 and 982 is 479216

Least common multiple can be found by multiplying the highest exponent prime factors of 976 and 982. First we will calculate the prime factors of 976 and 982.

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 982


2 982
491 491
1

Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:

982 = 21×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 976 and 982.

LCM(976,982) = 24×611×4911
LCM(976,982) = 479216

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 982

List of positive integer factors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Least Common Multiple of 976 and 982 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 982, than apply into the LCM equation.

GCF(976,982) = 2
LCM(976,982) = ( 976 × 982) / 2
LCM(976,982) = 958432 / 2
LCM(976,982) = 479216

Properties of LCM 976 and 982

(i) The LCM of 982 and 976 is associative

LCM of 976 and 982 = LCM of 982 and 976

Related Least Common Multiples of 976

Related Least Common Multiples of 982

Frequently Asked Questions on LCM of 976 and 982

1. What is the LCM of 976 and 982?

Answer: LCM of 976 and 982 is 479216.

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 982?

Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.

4. How to Find the LCM of 976 and 982?

Answer:

Least Common Multiple of 976 and 982 = 479216

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 982

982 = 2 x 491

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

LCM = 479216 = 2 x 2 x 2 x 2 x 61 x 491

Step 4: Therefore, the least common multiple of 976 and 982 is 479216.