Least Common Multiple of 4981 and 4987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4981 and 4987 the smallest integer that is 24840247 that is divisible by both numbers.

Least Common Multiple (LCM) of 4981 and 4987 is 24840247.

LCM(4981,4987) = 24840247

LCM of 4981 and 4987

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

LCM of:
and

Least Common Multiple of 4981 and 4987

LCM of 4981 and 4987 is 24840247

Least common multiple can be found by multiplying the highest exponent prime factors of 4981 and 4987. First we will calculate the prime factors of 4981 and 4987.

Prime Factorization of 4981


17 4981
293 293
1

Prime factors of 4981 are 17,293. Prime factorization of 4981 in exponential form is:

4981 = 171×2931

Prime Factorization of 4987


4987 4987
1

Prime factors of 4987 are 4987. Prime factorization of 4987 in exponential form is:

4987 = 49871

Now multiplying the highest exponent prime factors to calculate the LCM of 4981 and 4987.

LCM(4981,4987) = 171×2931×49871
LCM(4981,4987) = 24840247

Factors of 4981

List of positive integer factors of 4981 that divides 4981 without a remainder.

1, 17, 293, 4981

Factors of 4987

List of positive integer factors of 4987 that divides 4987 without a remainder.

1, 4987

Least Common Multiple of 4981 and 4987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4981 and 4987, than apply into the LCM equation.

GCF(4981,4987) = 1
LCM(4981,4987) = ( 4981 × 4987) / 1
LCM(4981,4987) = 24840247 / 1
LCM(4981,4987) = 24840247

Properties of LCM 4981 and 4987

(i) The LCM of 4987 and 4981 is associative

LCM of 4981 and 4987 = LCM of 4987 and 4981

Related Least Common Multiples of 4981

Related Least Common Multiples of 4987

Frequently Asked Questions on LCM of 4981 and 4987

1. What is the LCM of 4981 and 4987?

Answer: LCM of 4981 and 4987 is 24840247.

2. What are the Factors of 4981?

Answer: Factors of 4981 are 1, 17, 293, 4981. There are 4 integers that are factors of 4981. The greatest factor of 4981 is 4981.

3. What are the Factors of 4987?

Answer: Factors of 4987 are 1, 4987. There are 2 integers that are factors of 4987. The greatest factor of 4987 is 4987.

4. How to Find the LCM of 4981 and 4987?

Answer:

Least Common Multiple of 4981 and 4987 = 24840247

Step 1: Find the prime factorization of 4981

4981 = 17 x 293

Step 2: Find the prime factorization of 4987

4987 = 4987

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

LCM = 24840247 = 17 x 293 x 4987

Step 4: Therefore, the least common multiple of 4981 and 4987 is 24840247.