Least Common Multiple of 4979 and 4986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4979 and 4986 the smallest integer that is 24825294 that is divisible by both numbers.

Least Common Multiple (LCM) of 4979 and 4986 is 24825294.

LCM(4979,4986) = 24825294

LCM of 4979 and 4986

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

LCM of:
and

Least Common Multiple of 4979 and 4986

LCM of 4979 and 4986 is 24825294

Least common multiple can be found by multiplying the highest exponent prime factors of 4979 and 4986. First we will calculate the prime factors of 4979 and 4986.

Prime Factorization of 4979


13 4979
383 383
1

Prime factors of 4979 are 13,383. Prime factorization of 4979 in exponential form is:

4979 = 131×3831

Prime Factorization of 4986


2 4986
3 2493
3 831
277 277
1

Prime factors of 4986 are 2, 3,277. Prime factorization of 4986 in exponential form is:

4986 = 21×32×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 4979 and 4986.

LCM(4979,4986) = 21×32×131×2771×3831
LCM(4979,4986) = 24825294

Factors of 4979

List of positive integer factors of 4979 that divides 4979 without a remainder.

1, 13, 383, 4979

Factors of 4986

List of positive integer factors of 4986 that divides 4986 without a remainder.

1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986

Least Common Multiple of 4979 and 4986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4979 and 4986, than apply into the LCM equation.

GCF(4979,4986) = 1
LCM(4979,4986) = ( 4979 × 4986) / 1
LCM(4979,4986) = 24825294 / 1
LCM(4979,4986) = 24825294

Properties of LCM 4979 and 4986

(i) The LCM of 4986 and 4979 is associative

LCM of 4979 and 4986 = LCM of 4986 and 4979

Related Least Common Multiples of 4979

Related Least Common Multiples of 4986

Frequently Asked Questions on LCM of 4979 and 4986

1. What is the LCM of 4979 and 4986?

Answer: LCM of 4979 and 4986 is 24825294.

2. What are the Factors of 4979?

Answer: Factors of 4979 are 1, 13, 383, 4979. There are 4 integers that are factors of 4979. The greatest factor of 4979 is 4979.

3. What are the Factors of 4986?

Answer: Factors of 4986 are 1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986. There are 12 integers that are factors of 4986. The greatest factor of 4986 is 4986.

4. How to Find the LCM of 4979 and 4986?

Answer:

Least Common Multiple of 4979 and 4986 = 24825294

Step 1: Find the prime factorization of 4979

4979 = 13 x 383

Step 2: Find the prime factorization of 4986

4986 = 2 x 3 x 3 x 277

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

LCM = 24825294 = 2 x 3 x 3 x 13 x 277 x 383

Step 4: Therefore, the least common multiple of 4979 and 4986 is 24825294.