Least Common Multiple of 989 and 992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 989 and 992 the smallest integer that is 981088 that is divisible by both numbers.

Least Common Multiple (LCM) of 989 and 992 is 981088.

LCM(989,992) = 981088

LCM of 989 and 992

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

LCM of:
and

Least Common Multiple of 989 and 992

LCM of 989 and 992 is 981088

Least common multiple can be found by multiplying the highest exponent prime factors of 989 and 992. First we will calculate the prime factors of 989 and 992.

Prime Factorization of 989


23 989
43 43
1

Prime factors of 989 are 23,43. Prime factorization of 989 in exponential form is:

989 = 231×431

Prime Factorization of 992


2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 992 are 2,31. Prime factorization of 992 in exponential form is:

992 = 25×311

Now multiplying the highest exponent prime factors to calculate the LCM of 989 and 992.

LCM(989,992) = 25×231×311×431
LCM(989,992) = 981088

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Least Common Multiple of 989 and 992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 989 and 992, than apply into the LCM equation.

GCF(989,992) = 1
LCM(989,992) = ( 989 × 992) / 1
LCM(989,992) = 981088 / 1
LCM(989,992) = 981088

Properties of LCM 989 and 992

(i) The LCM of 992 and 989 is associative

LCM of 989 and 992 = LCM of 992 and 989

Related Least Common Multiples of 989

Related Least Common Multiples of 992

Frequently Asked Questions on LCM of 989 and 992

1. What is the LCM of 989 and 992?

Answer: LCM of 989 and 992 is 981088.

2. What are the Factors of 989?

Answer: Factors of 989 are 1, 23, 43, 989. There are 4 integers that are factors of 989. The greatest factor of 989 is 989.

3. What are the Factors of 992?

Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.

4. How to Find the LCM of 989 and 992?

Answer:

Least Common Multiple of 989 and 992 = 981088

Step 1: Find the prime factorization of 989

989 = 23 x 43

Step 2: Find the prime factorization of 992

992 = 2 x 2 x 2 x 2 x 2 x 31

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

LCM = 981088 = 2 x 2 x 2 x 2 x 2 x 23 x 31 x 43

Step 4: Therefore, the least common multiple of 989 and 992 is 981088.