Least Common Multiple of 4670 and 4676

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 4676 the smallest integer that is 10918460 that is divisible by both numbers.

Least Common Multiple (LCM) of 4670 and 4676 is 10918460.

LCM(4670,4676) = 10918460

LCM of 4670 and 4676

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

LCM of:
and

Least Common Multiple of 4670 and 4676

LCM of 4670 and 4676 is 10918460

Least common multiple can be found by multiplying the highest exponent prime factors of 4670 and 4676. First we will calculate the prime factors of 4670 and 4676.

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 4676


2 4676
2 2338
7 1169
167 167
1

Prime factors of 4676 are 2, 7,167. Prime factorization of 4676 in exponential form is:

4676 = 22×71×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4670 and 4676.

LCM(4670,4676) = 22×51×71×1671×4671
LCM(4670,4676) = 10918460

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 4676

List of positive integer factors of 4676 that divides 4676 without a remainder.

1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676

Least Common Multiple of 4670 and 4676 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 4676, than apply into the LCM equation.

GCF(4670,4676) = 2
LCM(4670,4676) = ( 4670 × 4676) / 2
LCM(4670,4676) = 21836920 / 2
LCM(4670,4676) = 10918460

Properties of LCM 4670 and 4676

(i) The LCM of 4676 and 4670 is associative

LCM of 4670 and 4676 = LCM of 4676 and 4670

Related Least Common Multiples of 4670

Related Least Common Multiples of 4676

Frequently Asked Questions on LCM of 4670 and 4676

1. What is the LCM of 4670 and 4676?

Answer: LCM of 4670 and 4676 is 10918460.

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 4676?

Answer: Factors of 4676 are 1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676. There are 12 integers that are factors of 4676. The greatest factor of 4676 is 4676.

4. How to Find the LCM of 4670 and 4676?

Answer:

Least Common Multiple of 4670 and 4676 = 10918460

Step 1: Find the prime factorization of 4670

4670 = 2 x 5 x 467

Step 2: Find the prime factorization of 4676

4676 = 2 x 2 x 7 x 167

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

LCM = 10918460 = 2 x 2 x 5 x 7 x 167 x 467

Step 4: Therefore, the least common multiple of 4670 and 4676 is 10918460.