Least Common Multiple of 977 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 977 and 983 the smallest integer that is 960391 that is divisible by both numbers.

Least Common Multiple (LCM) of 977 and 983 is 960391.

LCM(977,983) = 960391

LCM of 977 and 983

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

LCM of:
and

Least Common Multiple of 977 and 983

LCM of 977 and 983 is 960391

Least common multiple can be found by multiplying the highest exponent prime factors of 977 and 983. First we will calculate the prime factors of 977 and 983.

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 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 977 and 983.

LCM(977,983) = 9771×9831
LCM(977,983) = 960391

Factors of 977

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

1, 977

Factors of 983

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

1, 983

Least Common Multiple of 977 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 977 and 983, than apply into the LCM equation.

GCF(977,983) = 1
LCM(977,983) = ( 977 × 983) / 1
LCM(977,983) = 960391 / 1
LCM(977,983) = 960391

Properties of LCM 977 and 983

(i) The LCM of 983 and 977 is associative

LCM of 977 and 983 = LCM of 983 and 977

Related Least Common Multiples of 977

Related Least Common Multiples of 983

Frequently Asked Questions on LCM of 977 and 983

1. What is the LCM of 977 and 983?

Answer: LCM of 977 and 983 is 960391.

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 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 977 and 983?

Answer:

Least Common Multiple of 977 and 983 = 960391

Step 1: Find the prime factorization of 977

977 = 977

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 = 960391 = 977 x 983

Step 4: Therefore, the least common multiple of 977 and 983 is 960391.