Least Common Multiple of 9370 and 9374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9370 and 9374 the smallest integer that is 43917190 that is divisible by both numbers.

Least Common Multiple (LCM) of 9370 and 9374 is 43917190.

LCM(9370,9374) = 43917190

LCM of 9370 and 9374

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

LCM of:
and

Least Common Multiple of 9370 and 9374

LCM of 9370 and 9374 is 43917190

Least common multiple can be found by multiplying the highest exponent prime factors of 9370 and 9374. First we will calculate the prime factors of 9370 and 9374.

Prime Factorization of 9370


2 9370
5 4685
937 937
1

Prime factors of 9370 are 2, 5,937. Prime factorization of 9370 in exponential form is:

9370 = 21×51×9371

Prime Factorization of 9374


2 9374
43 4687
109 109
1

Prime factors of 9374 are 2, 43,109. Prime factorization of 9374 in exponential form is:

9374 = 21×431×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9370 and 9374.

LCM(9370,9374) = 21×51×431×1091×9371
LCM(9370,9374) = 43917190

Factors of 9370

List of positive integer factors of 9370 that divides 9370 without a remainder.

1, 2, 5, 10, 937, 1874, 4685, 9370

Factors of 9374

List of positive integer factors of 9374 that divides 9374 without a remainder.

1, 2, 43, 86, 109, 218, 4687, 9374

Least Common Multiple of 9370 and 9374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9370 and 9374, than apply into the LCM equation.

GCF(9370,9374) = 2
LCM(9370,9374) = ( 9370 × 9374) / 2
LCM(9370,9374) = 87834380 / 2
LCM(9370,9374) = 43917190

Properties of LCM 9370 and 9374

(i) The LCM of 9374 and 9370 is associative

LCM of 9370 and 9374 = LCM of 9374 and 9370

Related Least Common Multiples of 9370

Related Least Common Multiples of 9374

Frequently Asked Questions on LCM of 9370 and 9374

1. What is the LCM of 9370 and 9374?

Answer: LCM of 9370 and 9374 is 43917190.

2. What are the Factors of 9370?

Answer: Factors of 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370. There are 8 integers that are factors of 9370. The greatest factor of 9370 is 9370.

3. What are the Factors of 9374?

Answer: Factors of 9374 are 1, 2, 43, 86, 109, 218, 4687, 9374. There are 8 integers that are factors of 9374. The greatest factor of 9374 is 9374.

4. How to Find the LCM of 9370 and 9374?

Answer:

Least Common Multiple of 9370 and 9374 = 43917190

Step 1: Find the prime factorization of 9370

9370 = 2 x 5 x 937

Step 2: Find the prime factorization of 9374

9374 = 2 x 43 x 109

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

LCM = 43917190 = 2 x 5 x 43 x 109 x 937

Step 4: Therefore, the least common multiple of 9370 and 9374 is 43917190.