Least Common Multiple of 4968 and 4974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4968 and 4974 the smallest integer that is 4118472 that is divisible by both numbers.

Least Common Multiple (LCM) of 4968 and 4974 is 4118472.

LCM(4968,4974) = 4118472

LCM of 4968 and 4974

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

LCM of:
and

Least Common Multiple of 4968 and 4974

LCM of 4968 and 4974 is 4118472

Least common multiple can be found by multiplying the highest exponent prime factors of 4968 and 4974. First we will calculate the prime factors of 4968 and 4974.

Prime Factorization of 4968


2 4968
2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 4968 are 2, 3,23. Prime factorization of 4968 in exponential form is:

4968 = 23×33×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4968 and 4974.

LCM(4968,4974) = 23×33×231×8291
LCM(4968,4974) = 4118472

Factors of 4968

List of positive integer factors of 4968 that divides 4968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968

Factors of 4974

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

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

Least Common Multiple of 4968 and 4974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4968 and 4974, than apply into the LCM equation.

GCF(4968,4974) = 6
LCM(4968,4974) = ( 4968 × 4974) / 6
LCM(4968,4974) = 24710832 / 6
LCM(4968,4974) = 4118472

Properties of LCM 4968 and 4974

(i) The LCM of 4974 and 4968 is associative

LCM of 4968 and 4974 = LCM of 4974 and 4968

Related Least Common Multiples of 4968

Related Least Common Multiples of 4974

Frequently Asked Questions on LCM of 4968 and 4974

1. What is the LCM of 4968 and 4974?

Answer: LCM of 4968 and 4974 is 4118472.

2. What are the Factors of 4968?

Answer: Factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968. There are 32 integers that are factors of 4968. The greatest factor of 4968 is 4968.

3. 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.

4. How to Find the LCM of 4968 and 4974?

Answer:

Least Common Multiple of 4968 and 4974 = 4118472

Step 1: Find the prime factorization of 4968

4968 = 2 x 2 x 2 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 4974

4974 = 2 x 3 x 829

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

LCM = 4118472 = 2 x 2 x 2 x 3 x 3 x 3 x 23 x 829

Step 4: Therefore, the least common multiple of 4968 and 4974 is 4118472.