Least Common Multiple of 4659 and 4662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4659 and 4662 the smallest integer that is 7240086 that is divisible by both numbers.

Least Common Multiple (LCM) of 4659 and 4662 is 7240086.

LCM(4659,4662) = 7240086

LCM of 4659 and 4662

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

LCM of:
and

Least Common Multiple of 4659 and 4662

LCM of 4659 and 4662 is 7240086

Least common multiple can be found by multiplying the highest exponent prime factors of 4659 and 4662. First we will calculate the prime factors of 4659 and 4662.

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

Prime Factorization of 4662


2 4662
3 2331
3 777
7 259
37 37
1

Prime factors of 4662 are 2, 3, 7,37. Prime factorization of 4662 in exponential form is:

4662 = 21×32×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4659 and 4662.

LCM(4659,4662) = 21×32×71×371×15531
LCM(4659,4662) = 7240086

Factors of 4659

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

1, 3, 1553, 4659

Factors of 4662

List of positive integer factors of 4662 that divides 4662 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662

Least Common Multiple of 4659 and 4662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4659 and 4662, than apply into the LCM equation.

GCF(4659,4662) = 3
LCM(4659,4662) = ( 4659 × 4662) / 3
LCM(4659,4662) = 21720258 / 3
LCM(4659,4662) = 7240086

Properties of LCM 4659 and 4662

(i) The LCM of 4662 and 4659 is associative

LCM of 4659 and 4662 = LCM of 4662 and 4659

Related Least Common Multiples of 4659

Related Least Common Multiples of 4662

Frequently Asked Questions on LCM of 4659 and 4662

1. What is the LCM of 4659 and 4662?

Answer: LCM of 4659 and 4662 is 7240086.

2. 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.

3. What are the Factors of 4662?

Answer: Factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662. There are 24 integers that are factors of 4662. The greatest factor of 4662 is 4662.

4. How to Find the LCM of 4659 and 4662?

Answer:

Least Common Multiple of 4659 and 4662 = 7240086

Step 1: Find the prime factorization of 4659

4659 = 3 x 1553

Step 2: Find the prime factorization of 4662

4662 = 2 x 3 x 3 x 7 x 37

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

LCM = 7240086 = 2 x 3 x 3 x 7 x 37 x 1553

Step 4: Therefore, the least common multiple of 4659 and 4662 is 7240086.