Least Common Multiple of 4652 and 4654

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 4654 the smallest integer that is 10825204 that is divisible by both numbers.

Least Common Multiple (LCM) of 4652 and 4654 is 10825204.

LCM(4652,4654) = 10825204

LCM of 4652 and 4654

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

LCM of:
and

Least Common Multiple of 4652 and 4654

LCM of 4652 and 4654 is 10825204

Least common multiple can be found by multiplying the highest exponent prime factors of 4652 and 4654. First we will calculate the prime factors of 4652 and 4654.

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 4654


2 4654
13 2327
179 179
1

Prime factors of 4654 are 2, 13,179. Prime factorization of 4654 in exponential form is:

4654 = 21×131×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4652 and 4654.

LCM(4652,4654) = 22×131×1791×11631
LCM(4652,4654) = 10825204

Factors of 4652

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

1, 2, 4, 1163, 2326, 4652

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1, 2, 13, 26, 179, 358, 2327, 4654

Least Common Multiple of 4652 and 4654 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 4654, than apply into the LCM equation.

GCF(4652,4654) = 2
LCM(4652,4654) = ( 4652 × 4654) / 2
LCM(4652,4654) = 21650408 / 2
LCM(4652,4654) = 10825204

Properties of LCM 4652 and 4654

(i) The LCM of 4654 and 4652 is associative

LCM of 4652 and 4654 = LCM of 4654 and 4652

Related Least Common Multiples of 4652

Related Least Common Multiples of 4654

Frequently Asked Questions on LCM of 4652 and 4654

1. What is the LCM of 4652 and 4654?

Answer: LCM of 4652 and 4654 is 10825204.

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 4654?

Answer: Factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654. There are 8 integers that are factors of 4654. The greatest factor of 4654 is 4654.

4. How to Find the LCM of 4652 and 4654?

Answer:

Least Common Multiple of 4652 and 4654 = 10825204

Step 1: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

Step 2: Find the prime factorization of 4654

4654 = 2 x 13 x 179

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

LCM = 10825204 = 2 x 2 x 13 x 179 x 1163

Step 4: Therefore, the least common multiple of 4652 and 4654 is 10825204.