Least Common Multiple of 4622 and 4629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4622 and 4629 the smallest integer that is 21395238 that is divisible by both numbers.

Least Common Multiple (LCM) of 4622 and 4629 is 21395238.

LCM(4622,4629) = 21395238

LCM of 4622 and 4629

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

LCM of:
and

Least Common Multiple of 4622 and 4629

LCM of 4622 and 4629 is 21395238

Least common multiple can be found by multiplying the highest exponent prime factors of 4622 and 4629. First we will calculate the prime factors of 4622 and 4629.

Prime Factorization of 4622


2 4622
2311 2311
1

Prime factors of 4622 are 2,2311. Prime factorization of 4622 in exponential form is:

4622 = 21×23111

Prime Factorization of 4629


3 4629
1543 1543
1

Prime factors of 4629 are 3,1543. Prime factorization of 4629 in exponential form is:

4629 = 31×15431

Now multiplying the highest exponent prime factors to calculate the LCM of 4622 and 4629.

LCM(4622,4629) = 21×31×15431×23111
LCM(4622,4629) = 21395238

Factors of 4622

List of positive integer factors of 4622 that divides 4622 without a remainder.

1, 2, 2311, 4622

Factors of 4629

List of positive integer factors of 4629 that divides 4629 without a remainder.

1, 3, 1543, 4629

Least Common Multiple of 4622 and 4629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4622 and 4629, than apply into the LCM equation.

GCF(4622,4629) = 1
LCM(4622,4629) = ( 4622 × 4629) / 1
LCM(4622,4629) = 21395238 / 1
LCM(4622,4629) = 21395238

Properties of LCM 4622 and 4629

(i) The LCM of 4629 and 4622 is associative

LCM of 4622 and 4629 = LCM of 4629 and 4622

Related Least Common Multiples of 4622

Related Least Common Multiples of 4629

Frequently Asked Questions on LCM of 4622 and 4629

1. What is the LCM of 4622 and 4629?

Answer: LCM of 4622 and 4629 is 21395238.

2. What are the Factors of 4622?

Answer: Factors of 4622 are 1, 2, 2311, 4622. There are 4 integers that are factors of 4622. The greatest factor of 4622 is 4622.

3. What are the Factors of 4629?

Answer: Factors of 4629 are 1, 3, 1543, 4629. There are 4 integers that are factors of 4629. The greatest factor of 4629 is 4629.

4. How to Find the LCM of 4622 and 4629?

Answer:

Least Common Multiple of 4622 and 4629 = 21395238

Step 1: Find the prime factorization of 4622

4622 = 2 x 2311

Step 2: Find the prime factorization of 4629

4629 = 3 x 1543

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

LCM = 21395238 = 2 x 3 x 1543 x 2311

Step 4: Therefore, the least common multiple of 4622 and 4629 is 21395238.