Least Common Multiple of 2989 and 2996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2989 and 2996 the smallest integer that is 1279292 that is divisible by both numbers.

Least Common Multiple (LCM) of 2989 and 2996 is 1279292.

LCM(2989,2996) = 1279292

LCM of 2989 and 2996

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

LCM of:
and

Least Common Multiple of 2989 and 2996

LCM of 2989 and 2996 is 1279292

Least common multiple can be found by multiplying the highest exponent prime factors of 2989 and 2996. First we will calculate the prime factors of 2989 and 2996.

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

Prime Factorization of 2996


2 2996
2 1498
7 749
107 107
1

Prime factors of 2996 are 2, 7,107. Prime factorization of 2996 in exponential form is:

2996 = 22×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2989 and 2996.

LCM(2989,2996) = 22×72×611×1071
LCM(2989,2996) = 1279292

Factors of 2989

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

1, 7, 49, 61, 427, 2989

Factors of 2996

List of positive integer factors of 2996 that divides 2996 without a remainder.

1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996

Least Common Multiple of 2989 and 2996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2989 and 2996, than apply into the LCM equation.

GCF(2989,2996) = 7
LCM(2989,2996) = ( 2989 × 2996) / 7
LCM(2989,2996) = 8955044 / 7
LCM(2989,2996) = 1279292

Properties of LCM 2989 and 2996

(i) The LCM of 2996 and 2989 is associative

LCM of 2989 and 2996 = LCM of 2996 and 2989

Related Least Common Multiples of 2989

Related Least Common Multiples of 2996

Frequently Asked Questions on LCM of 2989 and 2996

1. What is the LCM of 2989 and 2996?

Answer: LCM of 2989 and 2996 is 1279292.

2. 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.

3. What are the Factors of 2996?

Answer: Factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996. There are 12 integers that are factors of 2996. The greatest factor of 2996 is 2996.

4. How to Find the LCM of 2989 and 2996?

Answer:

Least Common Multiple of 2989 and 2996 = 1279292

Step 1: Find the prime factorization of 2989

2989 = 7 x 7 x 61

Step 2: Find the prime factorization of 2996

2996 = 2 x 2 x 7 x 107

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

LCM = 1279292 = 2 x 2 x 7 x 7 x 61 x 107

Step 4: Therefore, the least common multiple of 2989 and 2996 is 1279292.