Least Common Multiple of 4642 and 4649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4642 and 4649 the smallest integer that is 21580658 that is divisible by both numbers.

Least Common Multiple (LCM) of 4642 and 4649 is 21580658.

LCM(4642,4649) = 21580658

LCM of 4642 and 4649

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

LCM of:
and

Least Common Multiple of 4642 and 4649

LCM of 4642 and 4649 is 21580658

Least common multiple can be found by multiplying the highest exponent prime factors of 4642 and 4649. First we will calculate the prime factors of 4642 and 4649.

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

Prime Factorization of 4649


4649 4649
1

Prime factors of 4649 are 4649. Prime factorization of 4649 in exponential form is:

4649 = 46491

Now multiplying the highest exponent prime factors to calculate the LCM of 4642 and 4649.

LCM(4642,4649) = 21×111×2111×46491
LCM(4642,4649) = 21580658

Factors of 4642

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

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

Factors of 4649

List of positive integer factors of 4649 that divides 4649 without a remainder.

1, 4649

Least Common Multiple of 4642 and 4649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4642 and 4649, than apply into the LCM equation.

GCF(4642,4649) = 1
LCM(4642,4649) = ( 4642 × 4649) / 1
LCM(4642,4649) = 21580658 / 1
LCM(4642,4649) = 21580658

Properties of LCM 4642 and 4649

(i) The LCM of 4649 and 4642 is associative

LCM of 4642 and 4649 = LCM of 4649 and 4642

Related Least Common Multiples of 4642

Related Least Common Multiples of 4649

Frequently Asked Questions on LCM of 4642 and 4649

1. What is the LCM of 4642 and 4649?

Answer: LCM of 4642 and 4649 is 21580658.

2. 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.

3. What are the Factors of 4649?

Answer: Factors of 4649 are 1, 4649. There are 2 integers that are factors of 4649. The greatest factor of 4649 is 4649.

4. How to Find the LCM of 4642 and 4649?

Answer:

Least Common Multiple of 4642 and 4649 = 21580658

Step 1: Find the prime factorization of 4642

4642 = 2 x 11 x 211

Step 2: Find the prime factorization of 4649

4649 = 4649

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

LCM = 21580658 = 2 x 11 x 211 x 4649

Step 4: Therefore, the least common multiple of 4642 and 4649 is 21580658.