Least Common Multiple of 4886 and 4892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4886 and 4892 the smallest integer that is 11951156 that is divisible by both numbers.

Least Common Multiple (LCM) of 4886 and 4892 is 11951156.

LCM(4886,4892) = 11951156

LCM of 4886 and 4892

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

LCM of:
and

Least Common Multiple of 4886 and 4892

LCM of 4886 and 4892 is 11951156

Least common multiple can be found by multiplying the highest exponent prime factors of 4886 and 4892. First we will calculate the prime factors of 4886 and 4892.

Prime Factorization of 4886


2 4886
7 2443
349 349
1

Prime factors of 4886 are 2, 7,349. Prime factorization of 4886 in exponential form is:

4886 = 21×71×3491

Prime Factorization of 4892


2 4892
2 2446
1223 1223
1

Prime factors of 4892 are 2,1223. Prime factorization of 4892 in exponential form is:

4892 = 22×12231

Now multiplying the highest exponent prime factors to calculate the LCM of 4886 and 4892.

LCM(4886,4892) = 22×71×3491×12231
LCM(4886,4892) = 11951156

Factors of 4886

List of positive integer factors of 4886 that divides 4886 without a remainder.

1, 2, 7, 14, 349, 698, 2443, 4886

Factors of 4892

List of positive integer factors of 4892 that divides 4892 without a remainder.

1, 2, 4, 1223, 2446, 4892

Least Common Multiple of 4886 and 4892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4886 and 4892, than apply into the LCM equation.

GCF(4886,4892) = 2
LCM(4886,4892) = ( 4886 × 4892) / 2
LCM(4886,4892) = 23902312 / 2
LCM(4886,4892) = 11951156

Properties of LCM 4886 and 4892

(i) The LCM of 4892 and 4886 is associative

LCM of 4886 and 4892 = LCM of 4892 and 4886

Related Least Common Multiples of 4886

Related Least Common Multiples of 4892

Frequently Asked Questions on LCM of 4886 and 4892

1. What is the LCM of 4886 and 4892?

Answer: LCM of 4886 and 4892 is 11951156.

2. What are the Factors of 4886?

Answer: Factors of 4886 are 1, 2, 7, 14, 349, 698, 2443, 4886. There are 8 integers that are factors of 4886. The greatest factor of 4886 is 4886.

3. What are the Factors of 4892?

Answer: Factors of 4892 are 1, 2, 4, 1223, 2446, 4892. There are 6 integers that are factors of 4892. The greatest factor of 4892 is 4892.

4. How to Find the LCM of 4886 and 4892?

Answer:

Least Common Multiple of 4886 and 4892 = 11951156

Step 1: Find the prime factorization of 4886

4886 = 2 x 7 x 349

Step 2: Find the prime factorization of 4892

4892 = 2 x 2 x 1223

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

LCM = 11951156 = 2 x 2 x 7 x 349 x 1223

Step 4: Therefore, the least common multiple of 4886 and 4892 is 11951156.