Least Common Multiple of 4652 and 4657

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 4657 the smallest integer that is 21664364 that is divisible by both numbers.

Least Common Multiple (LCM) of 4652 and 4657 is 21664364.

LCM(4652,4657) = 21664364

LCM of 4652 and 4657

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

LCM of:
and

Least Common Multiple of 4652 and 4657

LCM of 4652 and 4657 is 21664364

Least common multiple can be found by multiplying the highest exponent prime factors of 4652 and 4657. First we will calculate the prime factors of 4652 and 4657.

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 4657


4657 4657
1

Prime factors of 4657 are 4657. Prime factorization of 4657 in exponential form is:

4657 = 46571

Now multiplying the highest exponent prime factors to calculate the LCM of 4652 and 4657.

LCM(4652,4657) = 22×11631×46571
LCM(4652,4657) = 21664364

Factors of 4652

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

1, 2, 4, 1163, 2326, 4652

Factors of 4657

List of positive integer factors of 4657 that divides 4657 without a remainder.

1, 4657

Least Common Multiple of 4652 and 4657 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 4657, than apply into the LCM equation.

GCF(4652,4657) = 1
LCM(4652,4657) = ( 4652 × 4657) / 1
LCM(4652,4657) = 21664364 / 1
LCM(4652,4657) = 21664364

Properties of LCM 4652 and 4657

(i) The LCM of 4657 and 4652 is associative

LCM of 4652 and 4657 = LCM of 4657 and 4652

Related Least Common Multiples of 4652

Related Least Common Multiples of 4657

Frequently Asked Questions on LCM of 4652 and 4657

1. What is the LCM of 4652 and 4657?

Answer: LCM of 4652 and 4657 is 21664364.

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 4657?

Answer: Factors of 4657 are 1, 4657. There are 2 integers that are factors of 4657. The greatest factor of 4657 is 4657.

4. How to Find the LCM of 4652 and 4657?

Answer:

Least Common Multiple of 4652 and 4657 = 21664364

Step 1: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

Step 2: Find the prime factorization of 4657

4657 = 4657

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

LCM = 21664364 = 2 x 2 x 1163 x 4657

Step 4: Therefore, the least common multiple of 4652 and 4657 is 21664364.