Least Common Multiple of 4670 and 4678

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 4678 the smallest integer that is 10923130 that is divisible by both numbers.

Least Common Multiple (LCM) of 4670 and 4678 is 10923130.

LCM(4670,4678) = 10923130

LCM of 4670 and 4678

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

LCM of:
and

Least Common Multiple of 4670 and 4678

LCM of 4670 and 4678 is 10923130

Least common multiple can be found by multiplying the highest exponent prime factors of 4670 and 4678. First we will calculate the prime factors of 4670 and 4678.

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 4678


2 4678
2339 2339
1

Prime factors of 4678 are 2,2339. Prime factorization of 4678 in exponential form is:

4678 = 21×23391

Now multiplying the highest exponent prime factors to calculate the LCM of 4670 and 4678.

LCM(4670,4678) = 21×51×4671×23391
LCM(4670,4678) = 10923130

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 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1, 2, 2339, 4678

Least Common Multiple of 4670 and 4678 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 4678, than apply into the LCM equation.

GCF(4670,4678) = 2
LCM(4670,4678) = ( 4670 × 4678) / 2
LCM(4670,4678) = 21846260 / 2
LCM(4670,4678) = 10923130

Properties of LCM 4670 and 4678

(i) The LCM of 4678 and 4670 is associative

LCM of 4670 and 4678 = LCM of 4678 and 4670

Related Least Common Multiples of 4670

Related Least Common Multiples of 4678

Frequently Asked Questions on LCM of 4670 and 4678

1. What is the LCM of 4670 and 4678?

Answer: LCM of 4670 and 4678 is 10923130.

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 4678?

Answer: Factors of 4678 are 1, 2, 2339, 4678. There are 4 integers that are factors of 4678. The greatest factor of 4678 is 4678.

4. How to Find the LCM of 4670 and 4678?

Answer:

Least Common Multiple of 4670 and 4678 = 10923130

Step 1: Find the prime factorization of 4670

4670 = 2 x 5 x 467

Step 2: Find the prime factorization of 4678

4678 = 2 x 2339

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

LCM = 10923130 = 2 x 5 x 467 x 2339

Step 4: Therefore, the least common multiple of 4670 and 4678 is 10923130.