Least Common Multiple of 4615 and 4622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4615 and 4622 the smallest integer that is 21330530 that is divisible by both numbers.

Least Common Multiple (LCM) of 4615 and 4622 is 21330530.

LCM(4615,4622) = 21330530

LCM of 4615 and 4622

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

LCM of:
and

Least Common Multiple of 4615 and 4622

LCM of 4615 and 4622 is 21330530

Least common multiple can be found by multiplying the highest exponent prime factors of 4615 and 4622. First we will calculate the prime factors of 4615 and 4622.

Prime Factorization of 4615


5 4615
13 923
71 71
1

Prime factors of 4615 are 5, 13,71. Prime factorization of 4615 in exponential form is:

4615 = 51×131×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4615 and 4622.

LCM(4615,4622) = 21×51×131×711×23111
LCM(4615,4622) = 21330530

Factors of 4615

List of positive integer factors of 4615 that divides 4615 without a remainder.

1, 5, 13, 65, 71, 355, 923, 4615

Factors of 4622

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

1, 2, 2311, 4622

Least Common Multiple of 4615 and 4622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4615 and 4622, than apply into the LCM equation.

GCF(4615,4622) = 1
LCM(4615,4622) = ( 4615 × 4622) / 1
LCM(4615,4622) = 21330530 / 1
LCM(4615,4622) = 21330530

Properties of LCM 4615 and 4622

(i) The LCM of 4622 and 4615 is associative

LCM of 4615 and 4622 = LCM of 4622 and 4615

Frequently Asked Questions on LCM of 4615 and 4622

1. What is the LCM of 4615 and 4622?

Answer: LCM of 4615 and 4622 is 21330530.

2. What are the Factors of 4615?

Answer: Factors of 4615 are 1, 5, 13, 65, 71, 355, 923, 4615. There are 8 integers that are factors of 4615. The greatest factor of 4615 is 4615.

3. 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.

4. How to Find the LCM of 4615 and 4622?

Answer:

Least Common Multiple of 4615 and 4622 = 21330530

Step 1: Find the prime factorization of 4615

4615 = 5 x 13 x 71

Step 2: Find the prime factorization of 4622

4622 = 2 x 2311

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

LCM = 21330530 = 2 x 5 x 13 x 71 x 2311

Step 4: Therefore, the least common multiple of 4615 and 4622 is 21330530.