Least Common Multiple of 4960 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 4960 and 4968 the smallest integer that is 3080160 that is divisible by both numbers.

Least Common Multiple (LCM) of 4960 and 4968 is 3080160.

LCM(4960,4968) = 3080160

LCM of 4960 and 4968

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

LCM of:
and

Least Common Multiple of 4960 and 4968

LCM of 4960 and 4968 is 3080160

Least common multiple can be found by multiplying the highest exponent prime factors of 4960 and 4968. First we will calculate the prime factors of 4960 and 4968.

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 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 4960 and 4968.

LCM(4960,4968) = 25×33×51×231×311
LCM(4960,4968) = 3080160

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 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 4960 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 4960 and 4968, than apply into the LCM equation.

GCF(4960,4968) = 8
LCM(4960,4968) = ( 4960 × 4968) / 8
LCM(4960,4968) = 24641280 / 8
LCM(4960,4968) = 3080160

Properties of LCM 4960 and 4968

(i) The LCM of 4968 and 4960 is associative

LCM of 4960 and 4968 = LCM of 4968 and 4960

Related Least Common Multiples of 4960

Related Least Common Multiples of 4968

Frequently Asked Questions on LCM of 4960 and 4968

1. What is the LCM of 4960 and 4968?

Answer: LCM of 4960 and 4968 is 3080160.

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 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 4960 and 4968?

Answer:

Least Common Multiple of 4960 and 4968 = 3080160

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 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 = 3080160 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 23 x 31

Step 4: Therefore, the least common multiple of 4960 and 4968 is 3080160.