Least Common Multiple of 4380 and 4388

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 4388 the smallest integer that is 4804860 that is divisible by both numbers.

Least Common Multiple (LCM) of 4380 and 4388 is 4804860.

LCM(4380,4388) = 4804860

LCM of 4380 and 4388

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

LCM of:
and

Least Common Multiple of 4380 and 4388

LCM of 4380 and 4388 is 4804860

Least common multiple can be found by multiplying the highest exponent prime factors of 4380 and 4388. First we will calculate the prime factors of 4380 and 4388.

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 4388


2 4388
2 2194
1097 1097
1

Prime factors of 4388 are 2,1097. Prime factorization of 4388 in exponential form is:

4388 = 22×10971

Now multiplying the highest exponent prime factors to calculate the LCM of 4380 and 4388.

LCM(4380,4388) = 22×31×51×731×10971
LCM(4380,4388) = 4804860

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 4388

List of positive integer factors of 4388 that divides 4388 without a remainder.

1, 2, 4, 1097, 2194, 4388

Least Common Multiple of 4380 and 4388 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 4388, than apply into the LCM equation.

GCF(4380,4388) = 4
LCM(4380,4388) = ( 4380 × 4388) / 4
LCM(4380,4388) = 19219440 / 4
LCM(4380,4388) = 4804860

Properties of LCM 4380 and 4388

(i) The LCM of 4388 and 4380 is associative

LCM of 4380 and 4388 = LCM of 4388 and 4380

Related Least Common Multiples of 4380

Related Least Common Multiples of 4388

Frequently Asked Questions on LCM of 4380 and 4388

1. What is the LCM of 4380 and 4388?

Answer: LCM of 4380 and 4388 is 4804860.

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 4388?

Answer: Factors of 4388 are 1, 2, 4, 1097, 2194, 4388. There are 6 integers that are factors of 4388. The greatest factor of 4388 is 4388.

4. How to Find the LCM of 4380 and 4388?

Answer:

Least Common Multiple of 4380 and 4388 = 4804860

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 4388

4388 = 2 x 2 x 1097

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

LCM = 4804860 = 2 x 2 x 3 x 5 x 73 x 1097

Step 4: Therefore, the least common multiple of 4380 and 4388 is 4804860.