Least Common Multiple of 2984 and 2991

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 2991 the smallest integer that is 8925144 that is divisible by both numbers.

Least Common Multiple (LCM) of 2984 and 2991 is 8925144.

LCM(2984,2991) = 8925144

LCM of 2984 and 2991

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

LCM of:
and

Least Common Multiple of 2984 and 2991

LCM of 2984 and 2991 is 8925144

Least common multiple can be found by multiplying the highest exponent prime factors of 2984 and 2991. First we will calculate the prime factors of 2984 and 2991.

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 2991


3 2991
997 997
1

Prime factors of 2991 are 3,997. Prime factorization of 2991 in exponential form is:

2991 = 31×9971

Now multiplying the highest exponent prime factors to calculate the LCM of 2984 and 2991.

LCM(2984,2991) = 23×31×3731×9971
LCM(2984,2991) = 8925144

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 2991

List of positive integer factors of 2991 that divides 2991 without a remainder.

1, 3, 997, 2991

Least Common Multiple of 2984 and 2991 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 2991, than apply into the LCM equation.

GCF(2984,2991) = 1
LCM(2984,2991) = ( 2984 × 2991) / 1
LCM(2984,2991) = 8925144 / 1
LCM(2984,2991) = 8925144

Properties of LCM 2984 and 2991

(i) The LCM of 2991 and 2984 is associative

LCM of 2984 and 2991 = LCM of 2991 and 2984

Related Least Common Multiples of 2984

Related Least Common Multiples of 2991

Frequently Asked Questions on LCM of 2984 and 2991

1. What is the LCM of 2984 and 2991?

Answer: LCM of 2984 and 2991 is 8925144.

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 2991?

Answer: Factors of 2991 are 1, 3, 997, 2991. There are 4 integers that are factors of 2991. The greatest factor of 2991 is 2991.

4. How to Find the LCM of 2984 and 2991?

Answer:

Least Common Multiple of 2984 and 2991 = 8925144

Step 1: Find the prime factorization of 2984

2984 = 2 x 2 x 2 x 373

Step 2: Find the prime factorization of 2991

2991 = 3 x 997

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

LCM = 8925144 = 2 x 2 x 2 x 3 x 373 x 997

Step 4: Therefore, the least common multiple of 2984 and 2991 is 8925144.