Least Common Multiple of 4888 and 4895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4888 and 4895 the smallest integer that is 23926760 that is divisible by both numbers.

Least Common Multiple (LCM) of 4888 and 4895 is 23926760.

LCM(4888,4895) = 23926760

LCM of 4888 and 4895

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

LCM of:
and

Least Common Multiple of 4888 and 4895

LCM of 4888 and 4895 is 23926760

Least common multiple can be found by multiplying the highest exponent prime factors of 4888 and 4895. First we will calculate the prime factors of 4888 and 4895.

Prime Factorization of 4888


2 4888
2 2444
2 1222
13 611
47 47
1

Prime factors of 4888 are 2, 13,47. Prime factorization of 4888 in exponential form is:

4888 = 23×131×471

Prime Factorization of 4895


5 4895
11 979
89 89
1

Prime factors of 4895 are 5, 11,89. Prime factorization of 4895 in exponential form is:

4895 = 51×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4888 and 4895.

LCM(4888,4895) = 23×51×111×131×471×891
LCM(4888,4895) = 23926760

Factors of 4888

List of positive integer factors of 4888 that divides 4888 without a remainder.

1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888

Factors of 4895

List of positive integer factors of 4895 that divides 4895 without a remainder.

1, 5, 11, 55, 89, 445, 979, 4895

Least Common Multiple of 4888 and 4895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4888 and 4895, than apply into the LCM equation.

GCF(4888,4895) = 1
LCM(4888,4895) = ( 4888 × 4895) / 1
LCM(4888,4895) = 23926760 / 1
LCM(4888,4895) = 23926760

Properties of LCM 4888 and 4895

(i) The LCM of 4895 and 4888 is associative

LCM of 4888 and 4895 = LCM of 4895 and 4888

Related Least Common Multiples of 4888

Related Least Common Multiples of 4895

Frequently Asked Questions on LCM of 4888 and 4895

1. What is the LCM of 4888 and 4895?

Answer: LCM of 4888 and 4895 is 23926760.

2. What are the Factors of 4888?

Answer: Factors of 4888 are 1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888. There are 16 integers that are factors of 4888. The greatest factor of 4888 is 4888.

3. What are the Factors of 4895?

Answer: Factors of 4895 are 1, 5, 11, 55, 89, 445, 979, 4895. There are 8 integers that are factors of 4895. The greatest factor of 4895 is 4895.

4. How to Find the LCM of 4888 and 4895?

Answer:

Least Common Multiple of 4888 and 4895 = 23926760

Step 1: Find the prime factorization of 4888

4888 = 2 x 2 x 2 x 13 x 47

Step 2: Find the prime factorization of 4895

4895 = 5 x 11 x 89

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

LCM = 23926760 = 2 x 2 x 2 x 5 x 11 x 13 x 47 x 89

Step 4: Therefore, the least common multiple of 4888 and 4895 is 23926760.