Least Common Multiple of 4657 and 4665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4657 and 4665 the smallest integer that is 21724905 that is divisible by both numbers.

Least Common Multiple (LCM) of 4657 and 4665 is 21724905.

LCM(4657,4665) = 21724905

LCM of 4657 and 4665

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

LCM of:
and

Least Common Multiple of 4657 and 4665

LCM of 4657 and 4665 is 21724905

Least common multiple can be found by multiplying the highest exponent prime factors of 4657 and 4665. First we will calculate the prime factors of 4657 and 4665.

Prime Factorization of 4657


4657 4657
1

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

4657 = 46571

Prime Factorization of 4665


3 4665
5 1555
311 311
1

Prime factors of 4665 are 3, 5,311. Prime factorization of 4665 in exponential form is:

4665 = 31×51×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 4657 and 4665.

LCM(4657,4665) = 31×51×3111×46571
LCM(4657,4665) = 21724905

Factors of 4657

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

1, 4657

Factors of 4665

List of positive integer factors of 4665 that divides 4665 without a remainder.

1, 3, 5, 15, 311, 933, 1555, 4665

Least Common Multiple of 4657 and 4665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4657 and 4665, than apply into the LCM equation.

GCF(4657,4665) = 1
LCM(4657,4665) = ( 4657 × 4665) / 1
LCM(4657,4665) = 21724905 / 1
LCM(4657,4665) = 21724905

Properties of LCM 4657 and 4665

(i) The LCM of 4665 and 4657 is associative

LCM of 4657 and 4665 = LCM of 4665 and 4657

Related Least Common Multiples of 4657

Related Least Common Multiples of 4665

Frequently Asked Questions on LCM of 4657 and 4665

1. What is the LCM of 4657 and 4665?

Answer: LCM of 4657 and 4665 is 21724905.

2. 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.

3. What are the Factors of 4665?

Answer: Factors of 4665 are 1, 3, 5, 15, 311, 933, 1555, 4665. There are 8 integers that are factors of 4665. The greatest factor of 4665 is 4665.

4. How to Find the LCM of 4657 and 4665?

Answer:

Least Common Multiple of 4657 and 4665 = 21724905

Step 1: Find the prime factorization of 4657

4657 = 4657

Step 2: Find the prime factorization of 4665

4665 = 3 x 5 x 311

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

LCM = 21724905 = 3 x 5 x 311 x 4657

Step 4: Therefore, the least common multiple of 4657 and 4665 is 21724905.