Least Common Multiple of 977 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 977 and 982 the smallest integer that is 959414 that is divisible by both numbers.

Least Common Multiple (LCM) of 977 and 982 is 959414.

LCM(977,982) = 959414

LCM of 977 and 982

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

LCM of:
and

Least Common Multiple of 977 and 982

LCM of 977 and 982 is 959414

Least common multiple can be found by multiplying the highest exponent prime factors of 977 and 982. First we will calculate the prime factors of 977 and 982.

Prime Factorization of 977


977 977
1

Prime factors of 977 are 977. Prime factorization of 977 in exponential form is:

977 = 9771

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 977 and 982.

LCM(977,982) = 21×4911×9771
LCM(977,982) = 959414

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1, 977

Factors of 982

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

1, 2, 491, 982

Least Common Multiple of 977 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 977 and 982, than apply into the LCM equation.

GCF(977,982) = 1
LCM(977,982) = ( 977 × 982) / 1
LCM(977,982) = 959414 / 1
LCM(977,982) = 959414

Properties of LCM 977 and 982

(i) The LCM of 982 and 977 is associative

LCM of 977 and 982 = LCM of 982 and 977

Related Least Common Multiples of 977

Related Least Common Multiples of 982

Frequently Asked Questions on LCM of 977 and 982

1. What is the LCM of 977 and 982?

Answer: LCM of 977 and 982 is 959414.

2. What are the Factors of 977?

Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.

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 977 and 982?

Answer:

Least Common Multiple of 977 and 982 = 959414

Step 1: Find the prime factorization of 977

977 = 977

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 = 959414 = 2 x 491 x 977

Step 4: Therefore, the least common multiple of 977 and 982 is 959414.