Least Common Multiple of 4974 and 4979

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 4979 the smallest integer that is 24765546 that is divisible by both numbers.

Least Common Multiple (LCM) of 4974 and 4979 is 24765546.

LCM(4974,4979) = 24765546

LCM of 4974 and 4979

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

LCM of:
and

Least Common Multiple of 4974 and 4979

LCM of 4974 and 4979 is 24765546

Least common multiple can be found by multiplying the highest exponent prime factors of 4974 and 4979. First we will calculate the prime factors of 4974 and 4979.

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 4979


13 4979
383 383
1

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

4979 = 131×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 4974 and 4979.

LCM(4974,4979) = 21×31×131×3831×8291
LCM(4974,4979) = 24765546

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 4979

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

1, 13, 383, 4979

Least Common Multiple of 4974 and 4979 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 4979, than apply into the LCM equation.

GCF(4974,4979) = 1
LCM(4974,4979) = ( 4974 × 4979) / 1
LCM(4974,4979) = 24765546 / 1
LCM(4974,4979) = 24765546

Properties of LCM 4974 and 4979

(i) The LCM of 4979 and 4974 is associative

LCM of 4974 and 4979 = LCM of 4979 and 4974

Related Least Common Multiples of 4974

Related Least Common Multiples of 4979

Frequently Asked Questions on LCM of 4974 and 4979

1. What is the LCM of 4974 and 4979?

Answer: LCM of 4974 and 4979 is 24765546.

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 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.

4. How to Find the LCM of 4974 and 4979?

Answer:

Least Common Multiple of 4974 and 4979 = 24765546

Step 1: Find the prime factorization of 4974

4974 = 2 x 3 x 829

Step 2: Find the prime factorization of 4979

4979 = 13 x 383

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

LCM = 24765546 = 2 x 3 x 13 x 383 x 829

Step 4: Therefore, the least common multiple of 4974 and 4979 is 24765546.