Least Common Multiple of 4962 and 4968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4962 and 4968 the smallest integer that is 4108536 that is divisible by both numbers.

Least Common Multiple (LCM) of 4962 and 4968 is 4108536.

LCM(4962,4968) = 4108536

LCM of 4962 and 4968

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

LCM of:
and

Least Common Multiple of 4962 and 4968

LCM of 4962 and 4968 is 4108536

Least common multiple can be found by multiplying the highest exponent prime factors of 4962 and 4968. First we will calculate the prime factors of 4962 and 4968.

Prime Factorization of 4962


2 4962
3 2481
827 827
1

Prime factors of 4962 are 2, 3,827. Prime factorization of 4962 in exponential form is:

4962 = 21×31×8271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4962 and 4968.

LCM(4962,4968) = 23×33×231×8271
LCM(4962,4968) = 4108536

Factors of 4962

List of positive integer factors of 4962 that divides 4962 without a remainder.

1, 2, 3, 6, 827, 1654, 2481, 4962

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

Least Common Multiple of 4962 and 4968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4962 and 4968, than apply into the LCM equation.

GCF(4962,4968) = 6
LCM(4962,4968) = ( 4962 × 4968) / 6
LCM(4962,4968) = 24651216 / 6
LCM(4962,4968) = 4108536

Properties of LCM 4962 and 4968

(i) The LCM of 4968 and 4962 is associative

LCM of 4962 and 4968 = LCM of 4968 and 4962

Related Least Common Multiples of 4962

Related Least Common Multiples of 4968

Frequently Asked Questions on LCM of 4962 and 4968

1. What is the LCM of 4962 and 4968?

Answer: LCM of 4962 and 4968 is 4108536.

2. What are the Factors of 4962?

Answer: Factors of 4962 are 1, 2, 3, 6, 827, 1654, 2481, 4962. There are 8 integers that are factors of 4962. The greatest factor of 4962 is 4962.

3. 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.

4. How to Find the LCM of 4962 and 4968?

Answer:

Least Common Multiple of 4962 and 4968 = 4108536

Step 1: Find the prime factorization of 4962

4962 = 2 x 3 x 827

Step 2: Find the prime factorization of 4968

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

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

LCM = 4108536 = 2 x 2 x 2 x 3 x 3 x 3 x 23 x 827

Step 4: Therefore, the least common multiple of 4962 and 4968 is 4108536.