Least Common Multiple of 4606 and 4612

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 4612 the smallest integer that is 10621436 that is divisible by both numbers.

Least Common Multiple (LCM) of 4606 and 4612 is 10621436.

LCM(4606,4612) = 10621436

LCM of 4606 and 4612

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

LCM of:
and

Least Common Multiple of 4606 and 4612

LCM of 4606 and 4612 is 10621436

Least common multiple can be found by multiplying the highest exponent prime factors of 4606 and 4612. First we will calculate the prime factors of 4606 and 4612.

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 4612


2 4612
2 2306
1153 1153
1

Prime factors of 4612 are 2,1153. Prime factorization of 4612 in exponential form is:

4612 = 22×11531

Now multiplying the highest exponent prime factors to calculate the LCM of 4606 and 4612.

LCM(4606,4612) = 22×72×471×11531
LCM(4606,4612) = 10621436

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 4612

List of positive integer factors of 4612 that divides 4612 without a remainder.

1, 2, 4, 1153, 2306, 4612

Least Common Multiple of 4606 and 4612 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 4612, than apply into the LCM equation.

GCF(4606,4612) = 2
LCM(4606,4612) = ( 4606 × 4612) / 2
LCM(4606,4612) = 21242872 / 2
LCM(4606,4612) = 10621436

Properties of LCM 4606 and 4612

(i) The LCM of 4612 and 4606 is associative

LCM of 4606 and 4612 = LCM of 4612 and 4606

Related Least Common Multiples of 4606

Related Least Common Multiples of 4612

Frequently Asked Questions on LCM of 4606 and 4612

1. What is the LCM of 4606 and 4612?

Answer: LCM of 4606 and 4612 is 10621436.

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 4612?

Answer: Factors of 4612 are 1, 2, 4, 1153, 2306, 4612. There are 6 integers that are factors of 4612. The greatest factor of 4612 is 4612.

4. How to Find the LCM of 4606 and 4612?

Answer:

Least Common Multiple of 4606 and 4612 = 10621436

Step 1: Find the prime factorization of 4606

4606 = 2 x 7 x 7 x 47

Step 2: Find the prime factorization of 4612

4612 = 2 x 2 x 1153

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

LCM = 10621436 = 2 x 2 x 7 x 7 x 47 x 1153

Step 4: Therefore, the least common multiple of 4606 and 4612 is 10621436.