Least Common Multiple of 4654 and 4659

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 4659 the smallest integer that is 21682986 that is divisible by both numbers.

Least Common Multiple (LCM) of 4654 and 4659 is 21682986.

LCM(4654,4659) = 21682986

LCM of 4654 and 4659

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

LCM of:
and

Least Common Multiple of 4654 and 4659

LCM of 4654 and 4659 is 21682986

Least common multiple can be found by multiplying the highest exponent prime factors of 4654 and 4659. First we will calculate the prime factors of 4654 and 4659.

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 4659


3 4659
1553 1553
1

Prime factors of 4659 are 3,1553. Prime factorization of 4659 in exponential form is:

4659 = 31×15531

Now multiplying the highest exponent prime factors to calculate the LCM of 4654 and 4659.

LCM(4654,4659) = 21×31×131×1791×15531
LCM(4654,4659) = 21682986

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 4659

List of positive integer factors of 4659 that divides 4659 without a remainder.

1, 3, 1553, 4659

Least Common Multiple of 4654 and 4659 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 4659, than apply into the LCM equation.

GCF(4654,4659) = 1
LCM(4654,4659) = ( 4654 × 4659) / 1
LCM(4654,4659) = 21682986 / 1
LCM(4654,4659) = 21682986

Properties of LCM 4654 and 4659

(i) The LCM of 4659 and 4654 is associative

LCM of 4654 and 4659 = LCM of 4659 and 4654

Related Least Common Multiples of 4654

Related Least Common Multiples of 4659

Frequently Asked Questions on LCM of 4654 and 4659

1. What is the LCM of 4654 and 4659?

Answer: LCM of 4654 and 4659 is 21682986.

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 4659?

Answer: Factors of 4659 are 1, 3, 1553, 4659. There are 4 integers that are factors of 4659. The greatest factor of 4659 is 4659.

4. How to Find the LCM of 4654 and 4659?

Answer:

Least Common Multiple of 4654 and 4659 = 21682986

Step 1: Find the prime factorization of 4654

4654 = 2 x 13 x 179

Step 2: Find the prime factorization of 4659

4659 = 3 x 1553

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

LCM = 21682986 = 2 x 3 x 13 x 179 x 1553

Step 4: Therefore, the least common multiple of 4654 and 4659 is 21682986.