Least Common Multiple of 4659 and 4660

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 4660 the smallest integer that is 21710940 that is divisible by both numbers.

Least Common Multiple (LCM) of 4659 and 4660 is 21710940.

LCM(4659,4660) = 21710940

LCM of 4659 and 4660

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

LCM of:
and

Least Common Multiple of 4659 and 4660

LCM of 4659 and 4660 is 21710940

Least common multiple can be found by multiplying the highest exponent prime factors of 4659 and 4660. First we will calculate the prime factors of 4659 and 4660.

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 4660


2 4660
2 2330
5 1165
233 233
1

Prime factors of 4660 are 2, 5,233. Prime factorization of 4660 in exponential form is:

4660 = 22×51×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 4659 and 4660.

LCM(4659,4660) = 22×31×51×2331×15531
LCM(4659,4660) = 21710940

Factors of 4659

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

1, 3, 1553, 4659

Factors of 4660

List of positive integer factors of 4660 that divides 4660 without a remainder.

1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330, 4660

Least Common Multiple of 4659 and 4660 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 4660, than apply into the LCM equation.

GCF(4659,4660) = 1
LCM(4659,4660) = ( 4659 × 4660) / 1
LCM(4659,4660) = 21710940 / 1
LCM(4659,4660) = 21710940

Properties of LCM 4659 and 4660

(i) The LCM of 4660 and 4659 is associative

LCM of 4659 and 4660 = LCM of 4660 and 4659

Related Least Common Multiples of 4659

Related Least Common Multiples of 4660

Frequently Asked Questions on LCM of 4659 and 4660

1. What is the LCM of 4659 and 4660?

Answer: LCM of 4659 and 4660 is 21710940.

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 4660?

Answer: Factors of 4660 are 1, 2, 4, 5, 10, 20, 233, 466, 932, 1165, 2330, 4660. There are 12 integers that are factors of 4660. The greatest factor of 4660 is 4660.

4. How to Find the LCM of 4659 and 4660?

Answer:

Least Common Multiple of 4659 and 4660 = 21710940

Step 1: Find the prime factorization of 4659

4659 = 3 x 1553

Step 2: Find the prime factorization of 4660

4660 = 2 x 2 x 5 x 233

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

LCM = 21710940 = 2 x 2 x 3 x 5 x 233 x 1553

Step 4: Therefore, the least common multiple of 4659 and 4660 is 21710940.