Least Common Multiple of 2984 and 2987

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 2987 the smallest integer that is 8913208 that is divisible by both numbers.

Least Common Multiple (LCM) of 2984 and 2987 is 8913208.

LCM(2984,2987) = 8913208

LCM of 2984 and 2987

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

LCM of:
and

Least Common Multiple of 2984 and 2987

LCM of 2984 and 2987 is 8913208

Least common multiple can be found by multiplying the highest exponent prime factors of 2984 and 2987. First we will calculate the prime factors of 2984 and 2987.

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 2987


29 2987
103 103
1

Prime factors of 2987 are 29,103. Prime factorization of 2987 in exponential form is:

2987 = 291×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2984 and 2987.

LCM(2984,2987) = 23×291×1031×3731
LCM(2984,2987) = 8913208

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 2987

List of positive integer factors of 2987 that divides 2987 without a remainder.

1, 29, 103, 2987

Least Common Multiple of 2984 and 2987 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 2987, than apply into the LCM equation.

GCF(2984,2987) = 1
LCM(2984,2987) = ( 2984 × 2987) / 1
LCM(2984,2987) = 8913208 / 1
LCM(2984,2987) = 8913208

Properties of LCM 2984 and 2987

(i) The LCM of 2987 and 2984 is associative

LCM of 2984 and 2987 = LCM of 2987 and 2984

Related Least Common Multiples of 2984

Related Least Common Multiples of 2987

Frequently Asked Questions on LCM of 2984 and 2987

1. What is the LCM of 2984 and 2987?

Answer: LCM of 2984 and 2987 is 8913208.

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 2987?

Answer: Factors of 2987 are 1, 29, 103, 2987. There are 4 integers that are factors of 2987. The greatest factor of 2987 is 2987.

4. How to Find the LCM of 2984 and 2987?

Answer:

Least Common Multiple of 2984 and 2987 = 8913208

Step 1: Find the prime factorization of 2984

2984 = 2 x 2 x 2 x 373

Step 2: Find the prime factorization of 2987

2987 = 29 x 103

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

LCM = 8913208 = 2 x 2 x 2 x 29 x 103 x 373

Step 4: Therefore, the least common multiple of 2984 and 2987 is 8913208.