Least Common Multiple of 4380 and 4384

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 4384 the smallest integer that is 4800480 that is divisible by both numbers.

Least Common Multiple (LCM) of 4380 and 4384 is 4800480.

LCM(4380,4384) = 4800480

LCM of 4380 and 4384

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

LCM of:
and

Least Common Multiple of 4380 and 4384

LCM of 4380 and 4384 is 4800480

Least common multiple can be found by multiplying the highest exponent prime factors of 4380 and 4384. First we will calculate the prime factors of 4380 and 4384.

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 4384


2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 4384 are 2,137. Prime factorization of 4384 in exponential form is:

4384 = 25×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4380 and 4384.

LCM(4380,4384) = 25×31×51×731×1371
LCM(4380,4384) = 4800480

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 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384

Least Common Multiple of 4380 and 4384 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 4384, than apply into the LCM equation.

GCF(4380,4384) = 4
LCM(4380,4384) = ( 4380 × 4384) / 4
LCM(4380,4384) = 19201920 / 4
LCM(4380,4384) = 4800480

Properties of LCM 4380 and 4384

(i) The LCM of 4384 and 4380 is associative

LCM of 4380 and 4384 = LCM of 4384 and 4380

Related Least Common Multiples of 4380

Related Least Common Multiples of 4384

Frequently Asked Questions on LCM of 4380 and 4384

1. What is the LCM of 4380 and 4384?

Answer: LCM of 4380 and 4384 is 4800480.

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 4384?

Answer: Factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384. There are 12 integers that are factors of 4384. The greatest factor of 4384 is 4384.

4. How to Find the LCM of 4380 and 4384?

Answer:

Least Common Multiple of 4380 and 4384 = 4800480

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 4384

4384 = 2 x 2 x 2 x 2 x 2 x 137

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

LCM = 4800480 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 73 x 137

Step 4: Therefore, the least common multiple of 4380 and 4384 is 4800480.