Least Common Multiple of 4956 and 4963

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 4963 the smallest integer that is 3513804 that is divisible by both numbers.

Least Common Multiple (LCM) of 4956 and 4963 is 3513804.

LCM(4956,4963) = 3513804

LCM of 4956 and 4963

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

LCM of:
and

Least Common Multiple of 4956 and 4963

LCM of 4956 and 4963 is 3513804

Least common multiple can be found by multiplying the highest exponent prime factors of 4956 and 4963. First we will calculate the prime factors of 4956 and 4963.

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 4963


7 4963
709 709
1

Prime factors of 4963 are 7,709. Prime factorization of 4963 in exponential form is:

4963 = 71×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 4956 and 4963.

LCM(4956,4963) = 22×31×71×591×7091
LCM(4956,4963) = 3513804

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 4963

List of positive integer factors of 4963 that divides 4963 without a remainder.

1, 7, 709, 4963

Least Common Multiple of 4956 and 4963 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 4963, than apply into the LCM equation.

GCF(4956,4963) = 7
LCM(4956,4963) = ( 4956 × 4963) / 7
LCM(4956,4963) = 24596628 / 7
LCM(4956,4963) = 3513804

Properties of LCM 4956 and 4963

(i) The LCM of 4963 and 4956 is associative

LCM of 4956 and 4963 = LCM of 4963 and 4956

Related Least Common Multiples of 4956

Related Least Common Multiples of 4963

Frequently Asked Questions on LCM of 4956 and 4963

1. What is the LCM of 4956 and 4963?

Answer: LCM of 4956 and 4963 is 3513804.

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 4963?

Answer: Factors of 4963 are 1, 7, 709, 4963. There are 4 integers that are factors of 4963. The greatest factor of 4963 is 4963.

4. How to Find the LCM of 4956 and 4963?

Answer:

Least Common Multiple of 4956 and 4963 = 3513804

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 4963

4963 = 7 x 709

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

LCM = 3513804 = 2 x 2 x 3 x 7 x 59 x 709

Step 4: Therefore, the least common multiple of 4956 and 4963 is 3513804.