Least Common Multiple of 4956 and 4960

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 4960 the smallest integer that is 6145440 that is divisible by both numbers.

Least Common Multiple (LCM) of 4956 and 4960 is 6145440.

LCM(4956,4960) = 6145440

LCM of 4956 and 4960

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

LCM of:
and

Least Common Multiple of 4956 and 4960

LCM of 4956 and 4960 is 6145440

Least common multiple can be found by multiplying the highest exponent prime factors of 4956 and 4960. First we will calculate the prime factors of 4956 and 4960.

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 4960


2 4960
2 2480
2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 4960 are 2, 5,31. Prime factorization of 4960 in exponential form is:

4960 = 25×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4956 and 4960.

LCM(4956,4960) = 25×31×51×71×311×591
LCM(4956,4960) = 6145440

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 4960

List of positive integer factors of 4960 that divides 4960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960

Least Common Multiple of 4956 and 4960 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 4960, than apply into the LCM equation.

GCF(4956,4960) = 4
LCM(4956,4960) = ( 4956 × 4960) / 4
LCM(4956,4960) = 24581760 / 4
LCM(4956,4960) = 6145440

Properties of LCM 4956 and 4960

(i) The LCM of 4960 and 4956 is associative

LCM of 4956 and 4960 = LCM of 4960 and 4956

Related Least Common Multiples of 4956

Related Least Common Multiples of 4960

Frequently Asked Questions on LCM of 4956 and 4960

1. What is the LCM of 4956 and 4960?

Answer: LCM of 4956 and 4960 is 6145440.

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 4960?

Answer: Factors of 4960 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 80, 124, 155, 160, 248, 310, 496, 620, 992, 1240, 2480, 4960. There are 24 integers that are factors of 4960. The greatest factor of 4960 is 4960.

4. How to Find the LCM of 4956 and 4960?

Answer:

Least Common Multiple of 4956 and 4960 = 6145440

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 4960

4960 = 2 x 2 x 2 x 2 x 2 x 5 x 31

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

LCM = 6145440 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 31 x 59

Step 4: Therefore, the least common multiple of 4956 and 4960 is 6145440.