Least Common Multiple of 4654 and 4655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4654 and 4655 the smallest integer that is 21664370 that is divisible by both numbers.

Least Common Multiple (LCM) of 4654 and 4655 is 21664370.

LCM(4654,4655) = 21664370

LCM of 4654 and 4655

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

LCM of:
and

Least Common Multiple of 4654 and 4655

LCM of 4654 and 4655 is 21664370

Least common multiple can be found by multiplying the highest exponent prime factors of 4654 and 4655. First we will calculate the prime factors of 4654 and 4655.

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

Prime Factorization of 4655


5 4655
7 931
7 133
19 19
1

Prime factors of 4655 are 5, 7,19. Prime factorization of 4655 in exponential form is:

4655 = 51×72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4654 and 4655.

LCM(4654,4655) = 21×51×72×131×191×1791
LCM(4654,4655) = 21664370

Factors of 4654

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

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

Factors of 4655

List of positive integer factors of 4655 that divides 4655 without a remainder.

1, 5, 7, 19, 35, 49, 95, 133, 245, 665, 931, 4655

Least Common Multiple of 4654 and 4655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4654 and 4655, than apply into the LCM equation.

GCF(4654,4655) = 1
LCM(4654,4655) = ( 4654 × 4655) / 1
LCM(4654,4655) = 21664370 / 1
LCM(4654,4655) = 21664370

Properties of LCM 4654 and 4655

(i) The LCM of 4655 and 4654 is associative

LCM of 4654 and 4655 = LCM of 4655 and 4654

Related Least Common Multiples of 4654

Related Least Common Multiples of 4655

Frequently Asked Questions on LCM of 4654 and 4655

1. What is the LCM of 4654 and 4655?

Answer: LCM of 4654 and 4655 is 21664370.

2. 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.

3. What are the Factors of 4655?

Answer: Factors of 4655 are 1, 5, 7, 19, 35, 49, 95, 133, 245, 665, 931, 4655. There are 12 integers that are factors of 4655. The greatest factor of 4655 is 4655.

4. How to Find the LCM of 4654 and 4655?

Answer:

Least Common Multiple of 4654 and 4655 = 21664370

Step 1: Find the prime factorization of 4654

4654 = 2 x 13 x 179

Step 2: Find the prime factorization of 4655

4655 = 5 x 7 x 7 x 19

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

LCM = 21664370 = 2 x 5 x 7 x 7 x 13 x 19 x 179

Step 4: Therefore, the least common multiple of 4654 and 4655 is 21664370.