Least Common Multiple of 4670 and 4674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4670 and 4674 the smallest integer that is 10913790 that is divisible by both numbers.

Least Common Multiple (LCM) of 4670 and 4674 is 10913790.

LCM(4670,4674) = 10913790

LCM of 4670 and 4674

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

LCM of:
and

Least Common Multiple of 4670 and 4674

LCM of 4670 and 4674 is 10913790

Least common multiple can be found by multiplying the highest exponent prime factors of 4670 and 4674. First we will calculate the prime factors of 4670 and 4674.

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

Prime Factorization of 4674


2 4674
3 2337
19 779
41 41
1

Prime factors of 4674 are 2, 3, 19,41. Prime factorization of 4674 in exponential form is:

4674 = 21×31×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4670 and 4674.

LCM(4670,4674) = 21×31×51×191×411×4671
LCM(4670,4674) = 10913790

Factors of 4670

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

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

Factors of 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674

Least Common Multiple of 4670 and 4674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4670 and 4674, than apply into the LCM equation.

GCF(4670,4674) = 2
LCM(4670,4674) = ( 4670 × 4674) / 2
LCM(4670,4674) = 21827580 / 2
LCM(4670,4674) = 10913790

Properties of LCM 4670 and 4674

(i) The LCM of 4674 and 4670 is associative

LCM of 4670 and 4674 = LCM of 4674 and 4670

Related Least Common Multiples of 4670

Related Least Common Multiples of 4674

Frequently Asked Questions on LCM of 4670 and 4674

1. What is the LCM of 4670 and 4674?

Answer: LCM of 4670 and 4674 is 10913790.

2. 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.

3. What are the Factors of 4674?

Answer: Factors of 4674 are 1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337, 4674. There are 16 integers that are factors of 4674. The greatest factor of 4674 is 4674.

4. How to Find the LCM of 4670 and 4674?

Answer:

Least Common Multiple of 4670 and 4674 = 10913790

Step 1: Find the prime factorization of 4670

4670 = 2 x 5 x 467

Step 2: Find the prime factorization of 4674

4674 = 2 x 3 x 19 x 41

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

LCM = 10913790 = 2 x 3 x 5 x 19 x 41 x 467

Step 4: Therefore, the least common multiple of 4670 and 4674 is 10913790.