Least Common Multiple of 2984 and 2989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2984 and 2989 the smallest integer that is 8919176 that is divisible by both numbers.

Least Common Multiple (LCM) of 2984 and 2989 is 8919176.

LCM(2984,2989) = 8919176

LCM of 2984 and 2989

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

LCM of:
and

Least Common Multiple of 2984 and 2989

LCM of 2984 and 2989 is 8919176

Least common multiple can be found by multiplying the highest exponent prime factors of 2984 and 2989. First we will calculate the prime factors of 2984 and 2989.

Prime Factorization of 2984


2 2984
2 1492
2 746
373 373
1

Prime factors of 2984 are 2,373. Prime factorization of 2984 in exponential form is:

2984 = 23×3731

Prime Factorization of 2989


7 2989
7 427
61 61
1

Prime factors of 2989 are 7,61. Prime factorization of 2989 in exponential form is:

2989 = 72×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2984 and 2989.

LCM(2984,2989) = 23×72×611×3731
LCM(2984,2989) = 8919176

Factors of 2984

List of positive integer factors of 2984 that divides 2984 without a remainder.

1, 2, 4, 8, 373, 746, 1492, 2984

Factors of 2989

List of positive integer factors of 2989 that divides 2989 without a remainder.

1, 7, 49, 61, 427, 2989

Least Common Multiple of 2984 and 2989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2984 and 2989, than apply into the LCM equation.

GCF(2984,2989) = 1
LCM(2984,2989) = ( 2984 × 2989) / 1
LCM(2984,2989) = 8919176 / 1
LCM(2984,2989) = 8919176

Properties of LCM 2984 and 2989

(i) The LCM of 2989 and 2984 is associative

LCM of 2984 and 2989 = LCM of 2989 and 2984

Related Least Common Multiples of 2984

Related Least Common Multiples of 2989

Frequently Asked Questions on LCM of 2984 and 2989

1. What is the LCM of 2984 and 2989?

Answer: LCM of 2984 and 2989 is 8919176.

2. What are the Factors of 2984?

Answer: Factors of 2984 are 1, 2, 4, 8, 373, 746, 1492, 2984. There are 8 integers that are factors of 2984. The greatest factor of 2984 is 2984.

3. What are the Factors of 2989?

Answer: Factors of 2989 are 1, 7, 49, 61, 427, 2989. There are 6 integers that are factors of 2989. The greatest factor of 2989 is 2989.

4. How to Find the LCM of 2984 and 2989?

Answer:

Least Common Multiple of 2984 and 2989 = 8919176

Step 1: Find the prime factorization of 2984

2984 = 2 x 2 x 2 x 373

Step 2: Find the prime factorization of 2989

2989 = 7 x 7 x 61

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

LCM = 8919176 = 2 x 2 x 2 x 7 x 7 x 61 x 373

Step 4: Therefore, the least common multiple of 2984 and 2989 is 8919176.