Least Common Multiple of 4974 and 4981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4974 and 4981 the smallest integer that is 24775494 that is divisible by both numbers.

Least Common Multiple (LCM) of 4974 and 4981 is 24775494.

LCM(4974,4981) = 24775494

LCM of 4974 and 4981

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

LCM of:
and

Least Common Multiple of 4974 and 4981

LCM of 4974 and 4981 is 24775494

Least common multiple can be found by multiplying the highest exponent prime factors of 4974 and 4981. First we will calculate the prime factors of 4974 and 4981.

Prime Factorization of 4974


2 4974
3 2487
829 829
1

Prime factors of 4974 are 2, 3,829. Prime factorization of 4974 in exponential form is:

4974 = 21×31×8291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4974 and 4981.

LCM(4974,4981) = 21×31×171×2931×8291
LCM(4974,4981) = 24775494

Factors of 4974

List of positive integer factors of 4974 that divides 4974 without a remainder.

1, 2, 3, 6, 829, 1658, 2487, 4974

Factors of 4981

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

1, 17, 293, 4981

Least Common Multiple of 4974 and 4981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4974 and 4981, than apply into the LCM equation.

GCF(4974,4981) = 1
LCM(4974,4981) = ( 4974 × 4981) / 1
LCM(4974,4981) = 24775494 / 1
LCM(4974,4981) = 24775494

Properties of LCM 4974 and 4981

(i) The LCM of 4981 and 4974 is associative

LCM of 4974 and 4981 = LCM of 4981 and 4974

Related Least Common Multiples of 4974

Related Least Common Multiples of 4981

Frequently Asked Questions on LCM of 4974 and 4981

1. What is the LCM of 4974 and 4981?

Answer: LCM of 4974 and 4981 is 24775494.

2. What are the Factors of 4974?

Answer: Factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974. There are 8 integers that are factors of 4974. The greatest factor of 4974 is 4974.

3. 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.

4. How to Find the LCM of 4974 and 4981?

Answer:

Least Common Multiple of 4974 and 4981 = 24775494

Step 1: Find the prime factorization of 4974

4974 = 2 x 3 x 829

Step 2: Find the prime factorization of 4981

4981 = 17 x 293

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

LCM = 24775494 = 2 x 3 x 17 x 293 x 829

Step 4: Therefore, the least common multiple of 4974 and 4981 is 24775494.