Least Common Multiple of 4614 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 4614 and 4622 the smallest integer that is 10662954 that is divisible by both numbers.

Least Common Multiple (LCM) of 4614 and 4622 is 10662954.

LCM(4614,4622) = 10662954

LCM of 4614 and 4622

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

LCM of:
and

Least Common Multiple of 4614 and 4622

LCM of 4614 and 4622 is 10662954

Least common multiple can be found by multiplying the highest exponent prime factors of 4614 and 4622. First we will calculate the prime factors of 4614 and 4622.

Prime Factorization of 4614


2 4614
3 2307
769 769
1

Prime factors of 4614 are 2, 3,769. Prime factorization of 4614 in exponential form is:

4614 = 21×31×7691

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 4614 and 4622.

LCM(4614,4622) = 21×31×7691×23111
LCM(4614,4622) = 10662954

Factors of 4614

List of positive integer factors of 4614 that divides 4614 without a remainder.

1, 2, 3, 6, 769, 1538, 2307, 4614

Factors of 4622

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

1, 2, 2311, 4622

Least Common Multiple of 4614 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 4614 and 4622, than apply into the LCM equation.

GCF(4614,4622) = 2
LCM(4614,4622) = ( 4614 × 4622) / 2
LCM(4614,4622) = 21325908 / 2
LCM(4614,4622) = 10662954

Properties of LCM 4614 and 4622

(i) The LCM of 4622 and 4614 is associative

LCM of 4614 and 4622 = LCM of 4622 and 4614

Related Least Common Multiples of 4614

Related Least Common Multiples of 4622

Frequently Asked Questions on LCM of 4614 and 4622

1. What is the LCM of 4614 and 4622?

Answer: LCM of 4614 and 4622 is 10662954.

2. What are the Factors of 4614?

Answer: Factors of 4614 are 1, 2, 3, 6, 769, 1538, 2307, 4614. There are 8 integers that are factors of 4614. The greatest factor of 4614 is 4614.

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 4614 and 4622?

Answer:

Least Common Multiple of 4614 and 4622 = 10662954

Step 1: Find the prime factorization of 4614

4614 = 2 x 3 x 769

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 = 10662954 = 2 x 3 x 769 x 2311

Step 4: Therefore, the least common multiple of 4614 and 4622 is 10662954.