Least Common Multiple of 4607 and 4614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4607 and 4614 the smallest integer that is 21256698 that is divisible by both numbers.

Least Common Multiple (LCM) of 4607 and 4614 is 21256698.

LCM(4607,4614) = 21256698

LCM of 4607 and 4614

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

LCM of:
and

Least Common Multiple of 4607 and 4614

LCM of 4607 and 4614 is 21256698

Least common multiple can be found by multiplying the highest exponent prime factors of 4607 and 4614. First we will calculate the prime factors of 4607 and 4614.

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

Prime Factorization of 4614


2 4614
3 2307
769 769
1

Prime factors of 4614 are 2, 3,769. Prime factorization of 4614 in exponential form is:

4614 = 21×31×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 4607 and 4614.

LCM(4607,4614) = 21×31×171×2711×7691
LCM(4607,4614) = 21256698

Factors of 4607

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

1, 17, 271, 4607

Factors of 4614

List of positive integer factors of 4614 that divides 4614 without a remainder.

1, 2, 3, 6, 769, 1538, 2307, 4614

Least Common Multiple of 4607 and 4614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4607 and 4614, than apply into the LCM equation.

GCF(4607,4614) = 1
LCM(4607,4614) = ( 4607 × 4614) / 1
LCM(4607,4614) = 21256698 / 1
LCM(4607,4614) = 21256698

Properties of LCM 4607 and 4614

(i) The LCM of 4614 and 4607 is associative

LCM of 4607 and 4614 = LCM of 4614 and 4607

Related Least Common Multiples of 4607

Related Least Common Multiples of 4614

Frequently Asked Questions on LCM of 4607 and 4614

1. What is the LCM of 4607 and 4614?

Answer: LCM of 4607 and 4614 is 21256698.

2. 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.

3. What are the Factors of 4614?

Answer: Factors of 4614 are 1, 2, 3, 6, 769, 1538, 2307, 4614. There are 8 integers that are factors of 4614. The greatest factor of 4614 is 4614.

4. How to Find the LCM of 4607 and 4614?

Answer:

Least Common Multiple of 4607 and 4614 = 21256698

Step 1: Find the prime factorization of 4607

4607 = 17 x 271

Step 2: Find the prime factorization of 4614

4614 = 2 x 3 x 769

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

LCM = 21256698 = 2 x 3 x 17 x 271 x 769

Step 4: Therefore, the least common multiple of 4607 and 4614 is 21256698.