Least Common Multiple of 4652 and 4659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4652 and 4659 the smallest integer that is 21673668 that is divisible by both numbers.

Least Common Multiple (LCM) of 4652 and 4659 is 21673668.

LCM(4652,4659) = 21673668

LCM of 4652 and 4659

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

LCM of:
and

Least Common Multiple of 4652 and 4659

LCM of 4652 and 4659 is 21673668

Least common multiple can be found by multiplying the highest exponent prime factors of 4652 and 4659. First we will calculate the prime factors of 4652 and 4659.

Prime Factorization of 4652


2 4652
2 2326
1163 1163
1

Prime factors of 4652 are 2,1163. Prime factorization of 4652 in exponential form is:

4652 = 22×11631

Prime Factorization of 4659


3 4659
1553 1553
1

Prime factors of 4659 are 3,1553. Prime factorization of 4659 in exponential form is:

4659 = 31×15531

Now multiplying the highest exponent prime factors to calculate the LCM of 4652 and 4659.

LCM(4652,4659) = 22×31×11631×15531
LCM(4652,4659) = 21673668

Factors of 4652

List of positive integer factors of 4652 that divides 4652 without a remainder.

1, 2, 4, 1163, 2326, 4652

Factors of 4659

List of positive integer factors of 4659 that divides 4659 without a remainder.

1, 3, 1553, 4659

Least Common Multiple of 4652 and 4659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4652 and 4659, than apply into the LCM equation.

GCF(4652,4659) = 1
LCM(4652,4659) = ( 4652 × 4659) / 1
LCM(4652,4659) = 21673668 / 1
LCM(4652,4659) = 21673668

Properties of LCM 4652 and 4659

(i) The LCM of 4659 and 4652 is associative

LCM of 4652 and 4659 = LCM of 4659 and 4652

Related Least Common Multiples of 4652

Related Least Common Multiples of 4659

Frequently Asked Questions on LCM of 4652 and 4659

1. What is the LCM of 4652 and 4659?

Answer: LCM of 4652 and 4659 is 21673668.

2. What are the Factors of 4652?

Answer: Factors of 4652 are 1, 2, 4, 1163, 2326, 4652. There are 6 integers that are factors of 4652. The greatest factor of 4652 is 4652.

3. What are the Factors of 4659?

Answer: Factors of 4659 are 1, 3, 1553, 4659. There are 4 integers that are factors of 4659. The greatest factor of 4659 is 4659.

4. How to Find the LCM of 4652 and 4659?

Answer:

Least Common Multiple of 4652 and 4659 = 21673668

Step 1: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

Step 2: Find the prime factorization of 4659

4659 = 3 x 1553

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

LCM = 21673668 = 2 x 2 x 3 x 1163 x 1553

Step 4: Therefore, the least common multiple of 4652 and 4659 is 21673668.