Least Common Multiple of 4888 and 4894

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 4894 the smallest integer that is 11960936 that is divisible by both numbers.

Least Common Multiple (LCM) of 4888 and 4894 is 11960936.

LCM(4888,4894) = 11960936

LCM of 4888 and 4894

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

LCM of:
and

Least Common Multiple of 4888 and 4894

LCM of 4888 and 4894 is 11960936

Least common multiple can be found by multiplying the highest exponent prime factors of 4888 and 4894. First we will calculate the prime factors of 4888 and 4894.

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 4894


2 4894
2447 2447
1

Prime factors of 4894 are 2,2447. Prime factorization of 4894 in exponential form is:

4894 = 21×24471

Now multiplying the highest exponent prime factors to calculate the LCM of 4888 and 4894.

LCM(4888,4894) = 23×131×471×24471
LCM(4888,4894) = 11960936

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 4894

List of positive integer factors of 4894 that divides 4894 without a remainder.

1, 2, 2447, 4894

Least Common Multiple of 4888 and 4894 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 4894, than apply into the LCM equation.

GCF(4888,4894) = 2
LCM(4888,4894) = ( 4888 × 4894) / 2
LCM(4888,4894) = 23921872 / 2
LCM(4888,4894) = 11960936

Properties of LCM 4888 and 4894

(i) The LCM of 4894 and 4888 is associative

LCM of 4888 and 4894 = LCM of 4894 and 4888

Related Least Common Multiples of 4888

Related Least Common Multiples of 4894

Frequently Asked Questions on LCM of 4888 and 4894

1. What is the LCM of 4888 and 4894?

Answer: LCM of 4888 and 4894 is 11960936.

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 4894?

Answer: Factors of 4894 are 1, 2, 2447, 4894. There are 4 integers that are factors of 4894. The greatest factor of 4894 is 4894.

4. How to Find the LCM of 4888 and 4894?

Answer:

Least Common Multiple of 4888 and 4894 = 11960936

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 4894

4894 = 2 x 2447

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

LCM = 11960936 = 2 x 2 x 2 x 13 x 47 x 2447

Step 4: Therefore, the least common multiple of 4888 and 4894 is 11960936.