Least Common Multiple of 4380 and 4385

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 4385 the smallest integer that is 3841260 that is divisible by both numbers.

Least Common Multiple (LCM) of 4380 and 4385 is 3841260.

LCM(4380,4385) = 3841260

LCM of 4380 and 4385

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

LCM of:
and

Least Common Multiple of 4380 and 4385

LCM of 4380 and 4385 is 3841260

Least common multiple can be found by multiplying the highest exponent prime factors of 4380 and 4385. First we will calculate the prime factors of 4380 and 4385.

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 4385


5 4385
877 877
1

Prime factors of 4385 are 5,877. Prime factorization of 4385 in exponential form is:

4385 = 51×8771

Now multiplying the highest exponent prime factors to calculate the LCM of 4380 and 4385.

LCM(4380,4385) = 22×31×51×731×8771
LCM(4380,4385) = 3841260

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 4385

List of positive integer factors of 4385 that divides 4385 without a remainder.

1, 5, 877, 4385

Least Common Multiple of 4380 and 4385 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 4385, than apply into the LCM equation.

GCF(4380,4385) = 5
LCM(4380,4385) = ( 4380 × 4385) / 5
LCM(4380,4385) = 19206300 / 5
LCM(4380,4385) = 3841260

Properties of LCM 4380 and 4385

(i) The LCM of 4385 and 4380 is associative

LCM of 4380 and 4385 = LCM of 4385 and 4380

Related Least Common Multiples of 4380

Related Least Common Multiples of 4385

Frequently Asked Questions on LCM of 4380 and 4385

1. What is the LCM of 4380 and 4385?

Answer: LCM of 4380 and 4385 is 3841260.

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 4385?

Answer: Factors of 4385 are 1, 5, 877, 4385. There are 4 integers that are factors of 4385. The greatest factor of 4385 is 4385.

4. How to Find the LCM of 4380 and 4385?

Answer:

Least Common Multiple of 4380 and 4385 = 3841260

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 4385

4385 = 5 x 877

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

LCM = 3841260 = 2 x 2 x 3 x 5 x 73 x 877

Step 4: Therefore, the least common multiple of 4380 and 4385 is 3841260.