Least Common Multiple of 4380 and 4383

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 4383 the smallest integer that is 6399180 that is divisible by both numbers.

Least Common Multiple (LCM) of 4380 and 4383 is 6399180.

LCM(4380,4383) = 6399180

LCM of 4380 and 4383

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

LCM of:
and

Least Common Multiple of 4380 and 4383

LCM of 4380 and 4383 is 6399180

Least common multiple can be found by multiplying the highest exponent prime factors of 4380 and 4383. First we will calculate the prime factors of 4380 and 4383.

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 4383


3 4383
3 1461
487 487
1

Prime factors of 4383 are 3,487. Prime factorization of 4383 in exponential form is:

4383 = 32×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 4380 and 4383.

LCM(4380,4383) = 22×32×51×731×4871
LCM(4380,4383) = 6399180

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 4383

List of positive integer factors of 4383 that divides 4383 without a remainder.

1, 3, 9, 487, 1461, 4383

Least Common Multiple of 4380 and 4383 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 4383, than apply into the LCM equation.

GCF(4380,4383) = 3
LCM(4380,4383) = ( 4380 × 4383) / 3
LCM(4380,4383) = 19197540 / 3
LCM(4380,4383) = 6399180

Properties of LCM 4380 and 4383

(i) The LCM of 4383 and 4380 is associative

LCM of 4380 and 4383 = LCM of 4383 and 4380

Related Least Common Multiples of 4380

Related Least Common Multiples of 4383

Frequently Asked Questions on LCM of 4380 and 4383

1. What is the LCM of 4380 and 4383?

Answer: LCM of 4380 and 4383 is 6399180.

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 4383?

Answer: Factors of 4383 are 1, 3, 9, 487, 1461, 4383. There are 6 integers that are factors of 4383. The greatest factor of 4383 is 4383.

4. How to Find the LCM of 4380 and 4383?

Answer:

Least Common Multiple of 4380 and 4383 = 6399180

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 4383

4383 = 3 x 3 x 487

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

LCM = 6399180 = 2 x 2 x 3 x 3 x 5 x 73 x 487

Step 4: Therefore, the least common multiple of 4380 and 4383 is 6399180.