Least Common Multiple of 4364 and 4370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4364 and 4370 the smallest integer that is 9535340 that is divisible by both numbers.

Least Common Multiple (LCM) of 4364 and 4370 is 9535340.

LCM(4364,4370) = 9535340

LCM of 4364 and 4370

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

LCM of:
and

Least Common Multiple of 4364 and 4370

LCM of 4364 and 4370 is 9535340

Least common multiple can be found by multiplying the highest exponent prime factors of 4364 and 4370. First we will calculate the prime factors of 4364 and 4370.

Prime Factorization of 4364


2 4364
2 2182
1091 1091
1

Prime factors of 4364 are 2,1091. Prime factorization of 4364 in exponential form is:

4364 = 22×10911

Prime Factorization of 4370


2 4370
5 2185
19 437
23 23
1

Prime factors of 4370 are 2, 5, 19,23. Prime factorization of 4370 in exponential form is:

4370 = 21×51×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4364 and 4370.

LCM(4364,4370) = 22×51×191×231×10911
LCM(4364,4370) = 9535340

Factors of 4364

List of positive integer factors of 4364 that divides 4364 without a remainder.

1, 2, 4, 1091, 2182, 4364

Factors of 4370

List of positive integer factors of 4370 that divides 4370 without a remainder.

1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370

Least Common Multiple of 4364 and 4370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4364 and 4370, than apply into the LCM equation.

GCF(4364,4370) = 2
LCM(4364,4370) = ( 4364 × 4370) / 2
LCM(4364,4370) = 19070680 / 2
LCM(4364,4370) = 9535340

Properties of LCM 4364 and 4370

(i) The LCM of 4370 and 4364 is associative

LCM of 4364 and 4370 = LCM of 4370 and 4364

Related Least Common Multiples of 4364

Related Least Common Multiples of 4370

Frequently Asked Questions on LCM of 4364 and 4370

1. What is the LCM of 4364 and 4370?

Answer: LCM of 4364 and 4370 is 9535340.

2. What are the Factors of 4364?

Answer: Factors of 4364 are 1, 2, 4, 1091, 2182, 4364. There are 6 integers that are factors of 4364. The greatest factor of 4364 is 4364.

3. What are the Factors of 4370?

Answer: Factors of 4370 are 1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185, 4370. There are 16 integers that are factors of 4370. The greatest factor of 4370 is 4370.

4. How to Find the LCM of 4364 and 4370?

Answer:

Least Common Multiple of 4364 and 4370 = 9535340

Step 1: Find the prime factorization of 4364

4364 = 2 x 2 x 1091

Step 2: Find the prime factorization of 4370

4370 = 2 x 5 x 19 x 23

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

LCM = 9535340 = 2 x 2 x 5 x 19 x 23 x 1091

Step 4: Therefore, the least common multiple of 4364 and 4370 is 9535340.