Least Common Multiple of 4605 and 4607

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 4607 the smallest integer that is 21215235 that is divisible by both numbers.

Least Common Multiple (LCM) of 4605 and 4607 is 21215235.

LCM(4605,4607) = 21215235

LCM of 4605 and 4607

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

LCM of:
and

Least Common Multiple of 4605 and 4607

LCM of 4605 and 4607 is 21215235

Least common multiple can be found by multiplying the highest exponent prime factors of 4605 and 4607. First we will calculate the prime factors of 4605 and 4607.

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 4607


17 4607
271 271
1

Prime factors of 4607 are 17,271. Prime factorization of 4607 in exponential form is:

4607 = 171×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 4605 and 4607.

LCM(4605,4607) = 31×51×171×2711×3071
LCM(4605,4607) = 21215235

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 4607

List of positive integer factors of 4607 that divides 4607 without a remainder.

1, 17, 271, 4607

Least Common Multiple of 4605 and 4607 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 4607, than apply into the LCM equation.

GCF(4605,4607) = 1
LCM(4605,4607) = ( 4605 × 4607) / 1
LCM(4605,4607) = 21215235 / 1
LCM(4605,4607) = 21215235

Properties of LCM 4605 and 4607

(i) The LCM of 4607 and 4605 is associative

LCM of 4605 and 4607 = LCM of 4607 and 4605

Related Least Common Multiples of 4605

Related Least Common Multiples of 4607

Frequently Asked Questions on LCM of 4605 and 4607

1. What is the LCM of 4605 and 4607?

Answer: LCM of 4605 and 4607 is 21215235.

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 4607?

Answer: Factors of 4607 are 1, 17, 271, 4607. There are 4 integers that are factors of 4607. The greatest factor of 4607 is 4607.

4. How to Find the LCM of 4605 and 4607?

Answer:

Least Common Multiple of 4605 and 4607 = 21215235

Step 1: Find the prime factorization of 4605

4605 = 3 x 5 x 307

Step 2: Find the prime factorization of 4607

4607 = 17 x 271

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

LCM = 21215235 = 3 x 5 x 17 x 271 x 307

Step 4: Therefore, the least common multiple of 4605 and 4607 is 21215235.