Least Common Multiple of 983 and 988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 983 and 988 the smallest integer that is 971204 that is divisible by both numbers.

Least Common Multiple (LCM) of 983 and 988 is 971204.

LCM(983,988) = 971204

LCM of 983 and 988

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

LCM of:
and

Least Common Multiple of 983 and 988

LCM of 983 and 988 is 971204

Least common multiple can be found by multiplying the highest exponent prime factors of 983 and 988. First we will calculate the prime factors of 983 and 988.

Prime Factorization of 983


983 983
1

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

983 = 9831

Prime Factorization of 988


2 988
2 494
13 247
19 19
1

Prime factors of 988 are 2, 13,19. Prime factorization of 988 in exponential form is:

988 = 22×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 983 and 988.

LCM(983,988) = 22×131×191×9831
LCM(983,988) = 971204

Factors of 983

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

1, 983

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Least Common Multiple of 983 and 988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 983 and 988, than apply into the LCM equation.

GCF(983,988) = 1
LCM(983,988) = ( 983 × 988) / 1
LCM(983,988) = 971204 / 1
LCM(983,988) = 971204

Properties of LCM 983 and 988

(i) The LCM of 988 and 983 is associative

LCM of 983 and 988 = LCM of 988 and 983

Related Least Common Multiples of 983

Related Least Common Multiples of 988

Frequently Asked Questions on LCM of 983 and 988

1. What is the LCM of 983 and 988?

Answer: LCM of 983 and 988 is 971204.

2. 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.

3. What are the Factors of 988?

Answer: Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. There are 12 integers that are factors of 988. The greatest factor of 988 is 988.

4. How to Find the LCM of 983 and 988?

Answer:

Least Common Multiple of 983 and 988 = 971204

Step 1: Find the prime factorization of 983

983 = 983

Step 2: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

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

LCM = 971204 = 2 x 2 x 13 x 19 x 983

Step 4: Therefore, the least common multiple of 983 and 988 is 971204.