Least Common Multiple of 4634 and 4642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4634 and 4642 the smallest integer that is 10755514 that is divisible by both numbers.

Least Common Multiple (LCM) of 4634 and 4642 is 10755514.

LCM(4634,4642) = 10755514

LCM of 4634 and 4642

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

LCM of:
and

Least Common Multiple of 4634 and 4642

LCM of 4634 and 4642 is 10755514

Least common multiple can be found by multiplying the highest exponent prime factors of 4634 and 4642. First we will calculate the prime factors of 4634 and 4642.

Prime Factorization of 4634


2 4634
7 2317
331 331
1

Prime factors of 4634 are 2, 7,331. Prime factorization of 4634 in exponential form is:

4634 = 21×71×3311

Prime Factorization of 4642


2 4642
11 2321
211 211
1

Prime factors of 4642 are 2, 11,211. Prime factorization of 4642 in exponential form is:

4642 = 21×111×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 4634 and 4642.

LCM(4634,4642) = 21×71×111×2111×3311
LCM(4634,4642) = 10755514

Factors of 4634

List of positive integer factors of 4634 that divides 4634 without a remainder.

1, 2, 7, 14, 331, 662, 2317, 4634

Factors of 4642

List of positive integer factors of 4642 that divides 4642 without a remainder.

1, 2, 11, 22, 211, 422, 2321, 4642

Least Common Multiple of 4634 and 4642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4634 and 4642, than apply into the LCM equation.

GCF(4634,4642) = 2
LCM(4634,4642) = ( 4634 × 4642) / 2
LCM(4634,4642) = 21511028 / 2
LCM(4634,4642) = 10755514

Properties of LCM 4634 and 4642

(i) The LCM of 4642 and 4634 is associative

LCM of 4634 and 4642 = LCM of 4642 and 4634

Related Least Common Multiples of 4634

Related Least Common Multiples of 4642

Frequently Asked Questions on LCM of 4634 and 4642

1. What is the LCM of 4634 and 4642?

Answer: LCM of 4634 and 4642 is 10755514.

2. What are the Factors of 4634?

Answer: Factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634. There are 8 integers that are factors of 4634. The greatest factor of 4634 is 4634.

3. What are the Factors of 4642?

Answer: Factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642. There are 8 integers that are factors of 4642. The greatest factor of 4642 is 4642.

4. How to Find the LCM of 4634 and 4642?

Answer:

Least Common Multiple of 4634 and 4642 = 10755514

Step 1: Find the prime factorization of 4634

4634 = 2 x 7 x 331

Step 2: Find the prime factorization of 4642

4642 = 2 x 11 x 211

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

LCM = 10755514 = 2 x 7 x 11 x 211 x 331

Step 4: Therefore, the least common multiple of 4634 and 4642 is 10755514.