Least Common Multiple of 4652 and 4660

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 4660 the smallest integer that is 5419580 that is divisible by both numbers.

Least Common Multiple (LCM) of 4652 and 4660 is 5419580.

LCM(4652,4660) = 5419580

LCM of 4652 and 4660

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

LCM of:
and

Least Common Multiple of 4652 and 4660

LCM of 4652 and 4660 is 5419580

Least common multiple can be found by multiplying the highest exponent prime factors of 4652 and 4660. First we will calculate the prime factors of 4652 and 4660.

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 4660


2 4660
2 2330
5 1165
233 233
1

Prime factors of 4660 are 2, 5,233. Prime factorization of 4660 in exponential form is:

4660 = 22×51×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 4652 and 4660.

LCM(4652,4660) = 22×51×2331×11631
LCM(4652,4660) = 5419580

Factors of 4652

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

1, 2, 4, 1163, 2326, 4652

Factors of 4660

List of positive integer factors of 4660 that divides 4660 without a remainder.

1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330, 4660

Least Common Multiple of 4652 and 4660 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 4660, than apply into the LCM equation.

GCF(4652,4660) = 4
LCM(4652,4660) = ( 4652 × 4660) / 4
LCM(4652,4660) = 21678320 / 4
LCM(4652,4660) = 5419580

Properties of LCM 4652 and 4660

(i) The LCM of 4660 and 4652 is associative

LCM of 4652 and 4660 = LCM of 4660 and 4652

Related Least Common Multiples of 4652

Related Least Common Multiples of 4660

Frequently Asked Questions on LCM of 4652 and 4660

1. What is the LCM of 4652 and 4660?

Answer: LCM of 4652 and 4660 is 5419580.

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 4660?

Answer: Factors of 4660 are 1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330, 4660. There are 12 integers that are factors of 4660. The greatest factor of 4660 is 4660.

4. How to Find the LCM of 4652 and 4660?

Answer:

Least Common Multiple of 4652 and 4660 = 5419580

Step 1: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

Step 2: Find the prime factorization of 4660

4660 = 2 x 2 x 5 x 233

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

LCM = 5419580 = 2 x 2 x 5 x 233 x 1163

Step 4: Therefore, the least common multiple of 4652 and 4660 is 5419580.