Least Common Multiple of 4370 and 4374

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 4374 the smallest integer that is 9557190 that is divisible by both numbers.

Least Common Multiple (LCM) of 4370 and 4374 is 9557190.

LCM(4370,4374) = 9557190

LCM of 4370 and 4374

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

LCM of:
and

Least Common Multiple of 4370 and 4374

LCM of 4370 and 4374 is 9557190

Least common multiple can be found by multiplying the highest exponent prime factors of 4370 and 4374. First we will calculate the prime factors of 4370 and 4374.

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 4374


2 4374
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 4374 are 2,3. Prime factorization of 4374 in exponential form is:

4374 = 21×37

Now multiplying the highest exponent prime factors to calculate the LCM of 4370 and 4374.

LCM(4370,4374) = 21×37×51×191×231
LCM(4370,4374) = 9557190

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 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374

Least Common Multiple of 4370 and 4374 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 4374, than apply into the LCM equation.

GCF(4370,4374) = 2
LCM(4370,4374) = ( 4370 × 4374) / 2
LCM(4370,4374) = 19114380 / 2
LCM(4370,4374) = 9557190

Properties of LCM 4370 and 4374

(i) The LCM of 4374 and 4370 is associative

LCM of 4370 and 4374 = LCM of 4374 and 4370

Related Least Common Multiples of 4370

Related Least Common Multiples of 4374

Frequently Asked Questions on LCM of 4370 and 4374

1. What is the LCM of 4370 and 4374?

Answer: LCM of 4370 and 4374 is 9557190.

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 4374?

Answer: Factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374. There are 16 integers that are factors of 4374. The greatest factor of 4374 is 4374.

4. How to Find the LCM of 4370 and 4374?

Answer:

Least Common Multiple of 4370 and 4374 = 9557190

Step 1: Find the prime factorization of 4370

4370 = 2 x 5 x 19 x 23

Step 2: Find the prime factorization of 4374

4374 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3

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

LCM = 9557190 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 19 x 23

Step 4: Therefore, the least common multiple of 4370 and 4374 is 9557190.