Least Common Multiple of 4960 and 4964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4960 and 4964 the smallest integer that is 6155360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4960 and 4964 is 6155360.

LCM(4960,4964) = 6155360

LCM of 4960 and 4964

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

LCM of:
and

Least Common Multiple of 4960 and 4964

LCM of 4960 and 4964 is 6155360

Least common multiple can be found by multiplying the highest exponent prime factors of 4960 and 4964. First we will calculate the prime factors of 4960 and 4964.

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

Prime Factorization of 4964


2 4964
2 2482
17 1241
73 73
1

Prime factors of 4964 are 2, 17,73. Prime factorization of 4964 in exponential form is:

4964 = 22×171×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4960 and 4964.

LCM(4960,4964) = 25×51×171×311×731
LCM(4960,4964) = 6155360

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

Factors of 4964

List of positive integer factors of 4964 that divides 4964 without a remainder.

1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964

Least Common Multiple of 4960 and 4964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4960 and 4964, than apply into the LCM equation.

GCF(4960,4964) = 4
LCM(4960,4964) = ( 4960 × 4964) / 4
LCM(4960,4964) = 24621440 / 4
LCM(4960,4964) = 6155360

Properties of LCM 4960 and 4964

(i) The LCM of 4964 and 4960 is associative

LCM of 4960 and 4964 = LCM of 4964 and 4960

Related Least Common Multiples of 4960

Related Least Common Multiples of 4964

Frequently Asked Questions on LCM of 4960 and 4964

1. What is the LCM of 4960 and 4964?

Answer: LCM of 4960 and 4964 is 6155360.

2. 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.

3. What are the Factors of 4964?

Answer: Factors of 4964 are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482, 4964. There are 12 integers that are factors of 4964. The greatest factor of 4964 is 4964.

4. How to Find the LCM of 4960 and 4964?

Answer:

Least Common Multiple of 4960 and 4964 = 6155360

Step 1: Find the prime factorization of 4960

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

Step 2: Find the prime factorization of 4964

4964 = 2 x 2 x 17 x 73

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

LCM = 6155360 = 2 x 2 x 2 x 2 x 2 x 5 x 17 x 31 x 73

Step 4: Therefore, the least common multiple of 4960 and 4964 is 6155360.