Least Common Multiple of 4380 and 4387

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 4387 the smallest integer that is 19215060 that is divisible by both numbers.

Least Common Multiple (LCM) of 4380 and 4387 is 19215060.

LCM(4380,4387) = 19215060

LCM of 4380 and 4387

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

LCM of:
and

Least Common Multiple of 4380 and 4387

LCM of 4380 and 4387 is 19215060

Least common multiple can be found by multiplying the highest exponent prime factors of 4380 and 4387. First we will calculate the prime factors of 4380 and 4387.

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 4387


41 4387
107 107
1

Prime factors of 4387 are 41,107. Prime factorization of 4387 in exponential form is:

4387 = 411×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4380 and 4387.

LCM(4380,4387) = 22×31×51×411×731×1071
LCM(4380,4387) = 19215060

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 4387

List of positive integer factors of 4387 that divides 4387 without a remainder.

1, 41, 107, 4387

Least Common Multiple of 4380 and 4387 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 4387, than apply into the LCM equation.

GCF(4380,4387) = 1
LCM(4380,4387) = ( 4380 × 4387) / 1
LCM(4380,4387) = 19215060 / 1
LCM(4380,4387) = 19215060

Properties of LCM 4380 and 4387

(i) The LCM of 4387 and 4380 is associative

LCM of 4380 and 4387 = LCM of 4387 and 4380

Related Least Common Multiples of 4380

Related Least Common Multiples of 4387

Frequently Asked Questions on LCM of 4380 and 4387

1. What is the LCM of 4380 and 4387?

Answer: LCM of 4380 and 4387 is 19215060.

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 4387?

Answer: Factors of 4387 are 1, 41, 107, 4387. There are 4 integers that are factors of 4387. The greatest factor of 4387 is 4387.

4. How to Find the LCM of 4380 and 4387?

Answer:

Least Common Multiple of 4380 and 4387 = 19215060

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 4387

4387 = 41 x 107

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

LCM = 19215060 = 2 x 2 x 3 x 5 x 41 x 73 x 107

Step 4: Therefore, the least common multiple of 4380 and 4387 is 19215060.