Least Common Multiple of 4605 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 4605 and 4612 the smallest integer that is 21238260 that is divisible by both numbers.

Least Common Multiple (LCM) of 4605 and 4612 is 21238260.

LCM(4605,4612) = 21238260

LCM of 4605 and 4612

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

LCM of:
and

Least Common Multiple of 4605 and 4612

LCM of 4605 and 4612 is 21238260

Least common multiple can be found by multiplying the highest exponent prime factors of 4605 and 4612. First we will calculate the prime factors of 4605 and 4612.

Prime Factorization of 4605


3 4605
5 1535
307 307
1

Prime factors of 4605 are 3, 5,307. Prime factorization of 4605 in exponential form is:

4605 = 31×51×3071

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 4605 and 4612.

LCM(4605,4612) = 22×31×51×3071×11531
LCM(4605,4612) = 21238260

Factors of 4605

List of positive integer factors of 4605 that divides 4605 without a remainder.

1, 3, 5, 15, 307, 921, 1535, 4605

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 4605 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 4605 and 4612, than apply into the LCM equation.

GCF(4605,4612) = 1
LCM(4605,4612) = ( 4605 × 4612) / 1
LCM(4605,4612) = 21238260 / 1
LCM(4605,4612) = 21238260

Properties of LCM 4605 and 4612

(i) The LCM of 4612 and 4605 is associative

LCM of 4605 and 4612 = LCM of 4612 and 4605

Related Least Common Multiples of 4605

Related Least Common Multiples of 4612

Frequently Asked Questions on LCM of 4605 and 4612

1. What is the LCM of 4605 and 4612?

Answer: LCM of 4605 and 4612 is 21238260.

2. What are the Factors of 4605?

Answer: Factors of 4605 are 1, 3, 5, 15, 307, 921, 1535, 4605. There are 8 integers that are factors of 4605. The greatest factor of 4605 is 4605.

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 4605 and 4612?

Answer:

Least Common Multiple of 4605 and 4612 = 21238260

Step 1: Find the prime factorization of 4605

4605 = 3 x 5 x 307

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 = 21238260 = 2 x 2 x 3 x 5 x 307 x 1153

Step 4: Therefore, the least common multiple of 4605 and 4612 is 21238260.