Least Common Multiple of 4606 and 4614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4606 and 4614 the smallest integer that is 10626042 that is divisible by both numbers.

Least Common Multiple (LCM) of 4606 and 4614 is 10626042.

LCM(4606,4614) = 10626042

LCM of 4606 and 4614

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

LCM of:
and

Least Common Multiple of 4606 and 4614

LCM of 4606 and 4614 is 10626042

Least common multiple can be found by multiplying the highest exponent prime factors of 4606 and 4614. First we will calculate the prime factors of 4606 and 4614.

Prime Factorization of 4606


2 4606
7 2303
7 329
47 47
1

Prime factors of 4606 are 2, 7,47. Prime factorization of 4606 in exponential form is:

4606 = 21×72×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4606 and 4614.

LCM(4606,4614) = 21×31×72×471×7691
LCM(4606,4614) = 10626042

Factors of 4606

List of positive integer factors of 4606 that divides 4606 without a remainder.

1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606

Factors of 4614

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

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

Least Common Multiple of 4606 and 4614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4606 and 4614, than apply into the LCM equation.

GCF(4606,4614) = 2
LCM(4606,4614) = ( 4606 × 4614) / 2
LCM(4606,4614) = 21252084 / 2
LCM(4606,4614) = 10626042

Properties of LCM 4606 and 4614

(i) The LCM of 4614 and 4606 is associative

LCM of 4606 and 4614 = LCM of 4614 and 4606

Related Least Common Multiples of 4606

Related Least Common Multiples of 4614

Frequently Asked Questions on LCM of 4606 and 4614

1. What is the LCM of 4606 and 4614?

Answer: LCM of 4606 and 4614 is 10626042.

2. What are the Factors of 4606?

Answer: Factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606. There are 12 integers that are factors of 4606. The greatest factor of 4606 is 4606.

3. 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.

4. How to Find the LCM of 4606 and 4614?

Answer:

Least Common Multiple of 4606 and 4614 = 10626042

Step 1: Find the prime factorization of 4606

4606 = 2 x 7 x 7 x 47

Step 2: Find the prime factorization of 4614

4614 = 2 x 3 x 769

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

LCM = 10626042 = 2 x 3 x 7 x 7 x 47 x 769

Step 4: Therefore, the least common multiple of 4606 and 4614 is 10626042.