Least Common Multiple of 4756 and 4762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4756 and 4762 the smallest integer that is 11324036 that is divisible by both numbers.

Least Common Multiple (LCM) of 4756 and 4762 is 11324036.

LCM(4756,4762) = 11324036

LCM of 4756 and 4762

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

LCM of:
and

Least Common Multiple of 4756 and 4762

LCM of 4756 and 4762 is 11324036

Least common multiple can be found by multiplying the highest exponent prime factors of 4756 and 4762. First we will calculate the prime factors of 4756 and 4762.

Prime Factorization of 4756


2 4756
2 2378
29 1189
41 41
1

Prime factors of 4756 are 2, 29,41. Prime factorization of 4756 in exponential form is:

4756 = 22×291×411

Prime Factorization of 4762


2 4762
2381 2381
1

Prime factors of 4762 are 2,2381. Prime factorization of 4762 in exponential form is:

4762 = 21×23811

Now multiplying the highest exponent prime factors to calculate the LCM of 4756 and 4762.

LCM(4756,4762) = 22×291×411×23811
LCM(4756,4762) = 11324036

Factors of 4756

List of positive integer factors of 4756 that divides 4756 without a remainder.

1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756

Factors of 4762

List of positive integer factors of 4762 that divides 4762 without a remainder.

1, 2, 2381, 4762

Least Common Multiple of 4756 and 4762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4756 and 4762, than apply into the LCM equation.

GCF(4756,4762) = 2
LCM(4756,4762) = ( 4756 × 4762) / 2
LCM(4756,4762) = 22648072 / 2
LCM(4756,4762) = 11324036

Properties of LCM 4756 and 4762

(i) The LCM of 4762 and 4756 is associative

LCM of 4756 and 4762 = LCM of 4762 and 4756

Related Least Common Multiples of 4756

Related Least Common Multiples of 4762

Frequently Asked Questions on LCM of 4756 and 4762

1. What is the LCM of 4756 and 4762?

Answer: LCM of 4756 and 4762 is 11324036.

2. What are the Factors of 4756?

Answer: Factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756. There are 12 integers that are factors of 4756. The greatest factor of 4756 is 4756.

3. What are the Factors of 4762?

Answer: Factors of 4762 are 1, 2, 2381, 4762. There are 4 integers that are factors of 4762. The greatest factor of 4762 is 4762.

4. How to Find the LCM of 4756 and 4762?

Answer:

Least Common Multiple of 4756 and 4762 = 11324036

Step 1: Find the prime factorization of 4756

4756 = 2 x 2 x 29 x 41

Step 2: Find the prime factorization of 4762

4762 = 2 x 2381

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

LCM = 11324036 = 2 x 2 x 29 x 41 x 2381

Step 4: Therefore, the least common multiple of 4756 and 4762 is 11324036.