Least Common Multiple of 4955 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 4955 and 4963 the smallest integer that is 24591665 that is divisible by both numbers.

Least Common Multiple (LCM) of 4955 and 4963 is 24591665.

LCM(4955,4963) = 24591665

LCM of 4955 and 4963

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

LCM of:
and

Least Common Multiple of 4955 and 4963

LCM of 4955 and 4963 is 24591665

Least common multiple can be found by multiplying the highest exponent prime factors of 4955 and 4963. First we will calculate the prime factors of 4955 and 4963.

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 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 4955 and 4963.

LCM(4955,4963) = 51×71×7091×9911
LCM(4955,4963) = 24591665

Factors of 4955

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

1, 5, 991, 4955

Factors of 4963

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

1, 7, 709, 4963

Least Common Multiple of 4955 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 4955 and 4963, than apply into the LCM equation.

GCF(4955,4963) = 1
LCM(4955,4963) = ( 4955 × 4963) / 1
LCM(4955,4963) = 24591665 / 1
LCM(4955,4963) = 24591665

Properties of LCM 4955 and 4963

(i) The LCM of 4963 and 4955 is associative

LCM of 4955 and 4963 = LCM of 4963 and 4955

Related Least Common Multiples of 4955

Related Least Common Multiples of 4963

Frequently Asked Questions on LCM of 4955 and 4963

1. What is the LCM of 4955 and 4963?

Answer: LCM of 4955 and 4963 is 24591665.

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 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 4955 and 4963?

Answer:

Least Common Multiple of 4955 and 4963 = 24591665

Step 1: Find the prime factorization of 4955

4955 = 5 x 991

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 = 24591665 = 5 x 7 x 709 x 991

Step 4: Therefore, the least common multiple of 4955 and 4963 is 24591665.