Least Common Multiple of 4380 and 4386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4380 and 4386 the smallest integer that is 3201780 that is divisible by both numbers.

Least Common Multiple (LCM) of 4380 and 4386 is 3201780.

LCM(4380,4386) = 3201780

LCM of 4380 and 4386

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

LCM of:
and

Least Common Multiple of 4380 and 4386

LCM of 4380 and 4386 is 3201780

Least common multiple can be found by multiplying the highest exponent prime factors of 4380 and 4386. First we will calculate the prime factors of 4380 and 4386.

Prime Factorization of 4380


2 4380
2 2190
3 1095
5 365
73 73
1

Prime factors of 4380 are 2, 3, 5,73. Prime factorization of 4380 in exponential form is:

4380 = 22×31×51×731

Prime Factorization of 4386


2 4386
3 2193
17 731
43 43
1

Prime factors of 4386 are 2, 3, 17,43. Prime factorization of 4386 in exponential form is:

4386 = 21×31×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4380 and 4386.

LCM(4380,4386) = 22×31×51×171×431×731
LCM(4380,4386) = 3201780

Factors of 4380

List of positive integer factors of 4380 that divides 4380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380

Factors of 4386

List of positive integer factors of 4386 that divides 4386 without a remainder.

1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386

Least Common Multiple of 4380 and 4386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4380 and 4386, than apply into the LCM equation.

GCF(4380,4386) = 6
LCM(4380,4386) = ( 4380 × 4386) / 6
LCM(4380,4386) = 19210680 / 6
LCM(4380,4386) = 3201780

Properties of LCM 4380 and 4386

(i) The LCM of 4386 and 4380 is associative

LCM of 4380 and 4386 = LCM of 4386 and 4380

Related Least Common Multiples of 4380

Related Least Common Multiples of 4386

Frequently Asked Questions on LCM of 4380 and 4386

1. What is the LCM of 4380 and 4386?

Answer: LCM of 4380 and 4386 is 3201780.

2. What are the Factors of 4380?

Answer: Factors of 4380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380. There are 24 integers that are factors of 4380. The greatest factor of 4380 is 4380.

3. What are the Factors of 4386?

Answer: Factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386. There are 16 integers that are factors of 4386. The greatest factor of 4386 is 4386.

4. How to Find the LCM of 4380 and 4386?

Answer:

Least Common Multiple of 4380 and 4386 = 3201780

Step 1: Find the prime factorization of 4380

4380 = 2 x 2 x 3 x 5 x 73

Step 2: Find the prime factorization of 4386

4386 = 2 x 3 x 17 x 43

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

LCM = 3201780 = 2 x 2 x 3 x 5 x 17 x 43 x 73

Step 4: Therefore, the least common multiple of 4380 and 4386 is 3201780.