Least Common Multiple of 4604 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 4604 and 4607 the smallest integer that is 21210628 that is divisible by both numbers.

Least Common Multiple (LCM) of 4604 and 4607 is 21210628.

LCM(4604,4607) = 21210628

LCM of 4604 and 4607

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

LCM of:
and

Least Common Multiple of 4604 and 4607

LCM of 4604 and 4607 is 21210628

Least common multiple can be found by multiplying the highest exponent prime factors of 4604 and 4607. First we will calculate the prime factors of 4604 and 4607.

Prime Factorization of 4604


2 4604
2 2302
1151 1151
1

Prime factors of 4604 are 2,1151. Prime factorization of 4604 in exponential form is:

4604 = 22×11511

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 4604 and 4607.

LCM(4604,4607) = 22×171×2711×11511
LCM(4604,4607) = 21210628

Factors of 4604

List of positive integer factors of 4604 that divides 4604 without a remainder.

1, 2, 4, 1151, 2302, 4604

Factors of 4607

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

1, 17, 271, 4607

Least Common Multiple of 4604 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 4604 and 4607, than apply into the LCM equation.

GCF(4604,4607) = 1
LCM(4604,4607) = ( 4604 × 4607) / 1
LCM(4604,4607) = 21210628 / 1
LCM(4604,4607) = 21210628

Properties of LCM 4604 and 4607

(i) The LCM of 4607 and 4604 is associative

LCM of 4604 and 4607 = LCM of 4607 and 4604

Related Least Common Multiples of 4604

Related Least Common Multiples of 4607

Frequently Asked Questions on LCM of 4604 and 4607

1. What is the LCM of 4604 and 4607?

Answer: LCM of 4604 and 4607 is 21210628.

2. What are the Factors of 4604?

Answer: Factors of 4604 are 1, 2, 4, 1151, 2302, 4604. There are 6 integers that are factors of 4604. The greatest factor of 4604 is 4604.

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 4604 and 4607?

Answer:

Least Common Multiple of 4604 and 4607 = 21210628

Step 1: Find the prime factorization of 4604

4604 = 2 x 2 x 1151

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 = 21210628 = 2 x 2 x 17 x 271 x 1151

Step 4: Therefore, the least common multiple of 4604 and 4607 is 21210628.