Least Common Multiple of 4956 and 4962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4956 and 4962 the smallest integer that is 4098612 that is divisible by both numbers.

Least Common Multiple (LCM) of 4956 and 4962 is 4098612.

LCM(4956,4962) = 4098612

LCM of 4956 and 4962

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

LCM of:
and

Least Common Multiple of 4956 and 4962

LCM of 4956 and 4962 is 4098612

Least common multiple can be found by multiplying the highest exponent prime factors of 4956 and 4962. First we will calculate the prime factors of 4956 and 4962.

Prime Factorization of 4956


2 4956
2 2478
3 1239
7 413
59 59
1

Prime factors of 4956 are 2, 3, 7,59. Prime factorization of 4956 in exponential form is:

4956 = 22×31×71×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4956 and 4962.

LCM(4956,4962) = 22×31×71×591×8271
LCM(4956,4962) = 4098612

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956

Factors of 4962

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

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

Least Common Multiple of 4956 and 4962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4956 and 4962, than apply into the LCM equation.

GCF(4956,4962) = 6
LCM(4956,4962) = ( 4956 × 4962) / 6
LCM(4956,4962) = 24591672 / 6
LCM(4956,4962) = 4098612

Properties of LCM 4956 and 4962

(i) The LCM of 4962 and 4956 is associative

LCM of 4956 and 4962 = LCM of 4962 and 4956

Related Least Common Multiples of 4956

Related Least Common Multiples of 4962

Frequently Asked Questions on LCM of 4956 and 4962

1. What is the LCM of 4956 and 4962?

Answer: LCM of 4956 and 4962 is 4098612.

2. What are the Factors of 4956?

Answer: Factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956. There are 24 integers that are factors of 4956. The greatest factor of 4956 is 4956.

3. 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.

4. How to Find the LCM of 4956 and 4962?

Answer:

Least Common Multiple of 4956 and 4962 = 4098612

Step 1: Find the prime factorization of 4956

4956 = 2 x 2 x 3 x 7 x 59

Step 2: Find the prime factorization of 4962

4962 = 2 x 3 x 827

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

LCM = 4098612 = 2 x 2 x 3 x 7 x 59 x 827

Step 4: Therefore, the least common multiple of 4956 and 4962 is 4098612.