Least Common Multiple of 4360 and 4367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4360 and 4367 the smallest integer that is 19040120 that is divisible by both numbers.

Least Common Multiple (LCM) of 4360 and 4367 is 19040120.

LCM(4360,4367) = 19040120

LCM of 4360 and 4367

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

LCM of:
and

Least Common Multiple of 4360 and 4367

LCM of 4360 and 4367 is 19040120

Least common multiple can be found by multiplying the highest exponent prime factors of 4360 and 4367. First we will calculate the prime factors of 4360 and 4367.

Prime Factorization of 4360


2 4360
2 2180
2 1090
5 545
109 109
1

Prime factors of 4360 are 2, 5,109. Prime factorization of 4360 in exponential form is:

4360 = 23×51×1091

Prime Factorization of 4367


11 4367
397 397
1

Prime factors of 4367 are 11,397. Prime factorization of 4367 in exponential form is:

4367 = 111×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 4360 and 4367.

LCM(4360,4367) = 23×51×111×1091×3971
LCM(4360,4367) = 19040120

Factors of 4360

List of positive integer factors of 4360 that divides 4360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360

Factors of 4367

List of positive integer factors of 4367 that divides 4367 without a remainder.

1, 11, 397, 4367

Least Common Multiple of 4360 and 4367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4360 and 4367, than apply into the LCM equation.

GCF(4360,4367) = 1
LCM(4360,4367) = ( 4360 × 4367) / 1
LCM(4360,4367) = 19040120 / 1
LCM(4360,4367) = 19040120

Properties of LCM 4360 and 4367

(i) The LCM of 4367 and 4360 is associative

LCM of 4360 and 4367 = LCM of 4367 and 4360

Related Least Common Multiples of 4360

Related Least Common Multiples of 4367

Frequently Asked Questions on LCM of 4360 and 4367

1. What is the LCM of 4360 and 4367?

Answer: LCM of 4360 and 4367 is 19040120.

2. What are the Factors of 4360?

Answer: Factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360. There are 16 integers that are factors of 4360. The greatest factor of 4360 is 4360.

3. What are the Factors of 4367?

Answer: Factors of 4367 are 1, 11, 397, 4367. There are 4 integers that are factors of 4367. The greatest factor of 4367 is 4367.

4. How to Find the LCM of 4360 and 4367?

Answer:

Least Common Multiple of 4360 and 4367 = 19040120

Step 1: Find the prime factorization of 4360

4360 = 2 x 2 x 2 x 5 x 109

Step 2: Find the prime factorization of 4367

4367 = 11 x 397

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

LCM = 19040120 = 2 x 2 x 2 x 5 x 11 x 109 x 397

Step 4: Therefore, the least common multiple of 4360 and 4367 is 19040120.