Least Common Multiple of 984 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 984 and 988 the smallest integer that is 243048 that is divisible by both numbers.

Least Common Multiple (LCM) of 984 and 988 is 243048.

LCM(984,988) = 243048

LCM of 984 and 988

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

LCM of:
and

Least Common Multiple of 984 and 988

LCM of 984 and 988 is 243048

Least common multiple can be found by multiplying the highest exponent prime factors of 984 and 988. First we will calculate the prime factors of 984 and 988.

Prime Factorization of 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2, 3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

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 984 and 988.

LCM(984,988) = 23×31×131×191×411
LCM(984,988) = 243048

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 984 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 984 and 988, than apply into the LCM equation.

GCF(984,988) = 4
LCM(984,988) = ( 984 × 988) / 4
LCM(984,988) = 972192 / 4
LCM(984,988) = 243048

Properties of LCM 984 and 988

(i) The LCM of 988 and 984 is associative

LCM of 984 and 988 = LCM of 988 and 984

Related Least Common Multiples of 984

Related Least Common Multiples of 988

Frequently Asked Questions on LCM of 984 and 988

1. What is the LCM of 984 and 988?

Answer: LCM of 984 and 988 is 243048.

2. What are the Factors of 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

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 984 and 988?

Answer:

Least Common Multiple of 984 and 988 = 243048

Step 1: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

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 = 243048 = 2 x 2 x 2 x 3 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 984 and 988 is 243048.