Least Common Multiple of 4664 and 4670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4664 and 4670 the smallest integer that is 10890440 that is divisible by both numbers.

Least Common Multiple (LCM) of 4664 and 4670 is 10890440.

LCM(4664,4670) = 10890440

LCM of 4664 and 4670

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

LCM of:
and

Least Common Multiple of 4664 and 4670

LCM of 4664 and 4670 is 10890440

Least common multiple can be found by multiplying the highest exponent prime factors of 4664 and 4670. First we will calculate the prime factors of 4664 and 4670.

Prime Factorization of 4664


2 4664
2 2332
2 1166
11 583
53 53
1

Prime factors of 4664 are 2, 11,53. Prime factorization of 4664 in exponential form is:

4664 = 23×111×531

Prime Factorization of 4670


2 4670
5 2335
467 467
1

Prime factors of 4670 are 2, 5,467. Prime factorization of 4670 in exponential form is:

4670 = 21×51×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 4664 and 4670.

LCM(4664,4670) = 23×51×111×531×4671
LCM(4664,4670) = 10890440

Factors of 4664

List of positive integer factors of 4664 that divides 4664 without a remainder.

1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664

Factors of 4670

List of positive integer factors of 4670 that divides 4670 without a remainder.

1, 2, 5, 10, 467, 934, 2335, 4670

Least Common Multiple of 4664 and 4670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4664 and 4670, than apply into the LCM equation.

GCF(4664,4670) = 2
LCM(4664,4670) = ( 4664 × 4670) / 2
LCM(4664,4670) = 21780880 / 2
LCM(4664,4670) = 10890440

Properties of LCM 4664 and 4670

(i) The LCM of 4670 and 4664 is associative

LCM of 4664 and 4670 = LCM of 4670 and 4664

Related Least Common Multiples of 4664

Related Least Common Multiples of 4670

Frequently Asked Questions on LCM of 4664 and 4670

1. What is the LCM of 4664 and 4670?

Answer: LCM of 4664 and 4670 is 10890440.

2. What are the Factors of 4664?

Answer: Factors of 4664 are 1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664. There are 16 integers that are factors of 4664. The greatest factor of 4664 is 4664.

3. What are the Factors of 4670?

Answer: Factors of 4670 are 1, 2, 5, 10, 467, 934, 2335, 4670. There are 8 integers that are factors of 4670. The greatest factor of 4670 is 4670.

4. How to Find the LCM of 4664 and 4670?

Answer:

Least Common Multiple of 4664 and 4670 = 10890440

Step 1: Find the prime factorization of 4664

4664 = 2 x 2 x 2 x 11 x 53

Step 2: Find the prime factorization of 4670

4670 = 2 x 5 x 467

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

LCM = 10890440 = 2 x 2 x 2 x 5 x 11 x 53 x 467

Step 4: Therefore, the least common multiple of 4664 and 4670 is 10890440.