Least Common Multiple of 4955 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 4955 and 4960 the smallest integer that is 4915360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4955 and 4960 is 4915360.

LCM(4955,4960) = 4915360

LCM of 4955 and 4960

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

LCM of:
and

Least Common Multiple of 4955 and 4960

LCM of 4955 and 4960 is 4915360

Least common multiple can be found by multiplying the highest exponent prime factors of 4955 and 4960. First we will calculate the prime factors of 4955 and 4960.

Prime Factorization of 4955


5 4955
991 991
1

Prime factors of 4955 are 5,991. Prime factorization of 4955 in exponential form is:

4955 = 51×9911

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 4955 and 4960.

LCM(4955,4960) = 25×51×311×9911
LCM(4955,4960) = 4915360

Factors of 4955

List of positive integer factors of 4955 that divides 4955 without a remainder.

1, 5, 991, 4955

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 4955 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 4955 and 4960, than apply into the LCM equation.

GCF(4955,4960) = 5
LCM(4955,4960) = ( 4955 × 4960) / 5
LCM(4955,4960) = 24576800 / 5
LCM(4955,4960) = 4915360

Properties of LCM 4955 and 4960

(i) The LCM of 4960 and 4955 is associative

LCM of 4955 and 4960 = LCM of 4960 and 4955

Related Least Common Multiples of 4955

Related Least Common Multiples of 4960

Frequently Asked Questions on LCM of 4955 and 4960

1. What is the LCM of 4955 and 4960?

Answer: LCM of 4955 and 4960 is 4915360.

2. What are the Factors of 4955?

Answer: Factors of 4955 are 1, 5, 991, 4955. There are 4 integers that are factors of 4955. The greatest factor of 4955 is 4955.

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 4955 and 4960?

Answer:

Least Common Multiple of 4955 and 4960 = 4915360

Step 1: Find the prime factorization of 4955

4955 = 5 x 991

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 = 4915360 = 2 x 2 x 2 x 2 x 2 x 5 x 31 x 991

Step 4: Therefore, the least common multiple of 4955 and 4960 is 4915360.