Least Common Multiple of 4370 and 4378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4370 and 4378 the smallest integer that is 9565930 that is divisible by both numbers.

Least Common Multiple (LCM) of 4370 and 4378 is 9565930.

LCM(4370,4378) = 9565930

LCM of 4370 and 4378

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

LCM of:
and

Least Common Multiple of 4370 and 4378

LCM of 4370 and 4378 is 9565930

Least common multiple can be found by multiplying the highest exponent prime factors of 4370 and 4378. First we will calculate the prime factors of 4370 and 4378.

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

Prime Factorization of 4378


2 4378
11 2189
199 199
1

Prime factors of 4378 are 2, 11,199. Prime factorization of 4378 in exponential form is:

4378 = 21×111×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4370 and 4378.

LCM(4370,4378) = 21×51×111×191×231×1991
LCM(4370,4378) = 9565930

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

Factors of 4378

List of positive integer factors of 4378 that divides 4378 without a remainder.

1, 2, 11, 22, 199, 398, 2189, 4378

Least Common Multiple of 4370 and 4378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4370 and 4378, than apply into the LCM equation.

GCF(4370,4378) = 2
LCM(4370,4378) = ( 4370 × 4378) / 2
LCM(4370,4378) = 19131860 / 2
LCM(4370,4378) = 9565930

Properties of LCM 4370 and 4378

(i) The LCM of 4378 and 4370 is associative

LCM of 4370 and 4378 = LCM of 4378 and 4370

Related Least Common Multiples of 4370

Related Least Common Multiples of 4378

Frequently Asked Questions on LCM of 4370 and 4378

1. What is the LCM of 4370 and 4378?

Answer: LCM of 4370 and 4378 is 9565930.

2. 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.

3. What are the Factors of 4378?

Answer: Factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378. There are 8 integers that are factors of 4378. The greatest factor of 4378 is 4378.

4. How to Find the LCM of 4370 and 4378?

Answer:

Least Common Multiple of 4370 and 4378 = 9565930

Step 1: Find the prime factorization of 4370

4370 = 2 x 5 x 19 x 23

Step 2: Find the prime factorization of 4378

4378 = 2 x 11 x 199

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

LCM = 9565930 = 2 x 5 x 11 x 19 x 23 x 199

Step 4: Therefore, the least common multiple of 4370 and 4378 is 9565930.