Least Common Multiple of 4602 and 4606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4602 and 4606 the smallest integer that is 10598406 that is divisible by both numbers.

Least Common Multiple (LCM) of 4602 and 4606 is 10598406.

LCM(4602,4606) = 10598406

LCM of 4602 and 4606

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

LCM of:
and

Least Common Multiple of 4602 and 4606

LCM of 4602 and 4606 is 10598406

Least common multiple can be found by multiplying the highest exponent prime factors of 4602 and 4606. First we will calculate the prime factors of 4602 and 4606.

Prime Factorization of 4602


2 4602
3 2301
13 767
59 59
1

Prime factors of 4602 are 2, 3, 13,59. Prime factorization of 4602 in exponential form is:

4602 = 21×31×131×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4602 and 4606.

LCM(4602,4606) = 21×31×72×131×471×591
LCM(4602,4606) = 10598406

Factors of 4602

List of positive integer factors of 4602 that divides 4602 without a remainder.

1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602

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

Least Common Multiple of 4602 and 4606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4602 and 4606, than apply into the LCM equation.

GCF(4602,4606) = 2
LCM(4602,4606) = ( 4602 × 4606) / 2
LCM(4602,4606) = 21196812 / 2
LCM(4602,4606) = 10598406

Properties of LCM 4602 and 4606

(i) The LCM of 4606 and 4602 is associative

LCM of 4602 and 4606 = LCM of 4606 and 4602

Related Least Common Multiples of 4602

Related Least Common Multiples of 4606

Frequently Asked Questions on LCM of 4602 and 4606

1. What is the LCM of 4602 and 4606?

Answer: LCM of 4602 and 4606 is 10598406.

2. What are the Factors of 4602?

Answer: Factors of 4602 are 1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602. There are 16 integers that are factors of 4602. The greatest factor of 4602 is 4602.

3. 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.

4. How to Find the LCM of 4602 and 4606?

Answer:

Least Common Multiple of 4602 and 4606 = 10598406

Step 1: Find the prime factorization of 4602

4602 = 2 x 3 x 13 x 59

Step 2: Find the prime factorization of 4606

4606 = 2 x 7 x 7 x 47

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

LCM = 10598406 = 2 x 3 x 7 x 7 x 13 x 47 x 59

Step 4: Therefore, the least common multiple of 4602 and 4606 is 10598406.