Least Common Multiple of 8370 and 8378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8370 and 8378 the smallest integer that is 35061930 that is divisible by both numbers.

Least Common Multiple (LCM) of 8370 and 8378 is 35061930.

LCM(8370,8378) = 35061930

LCM of 8370 and 8378

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

LCM of:
and

Least Common Multiple of 8370 and 8378

LCM of 8370 and 8378 is 35061930

Least common multiple can be found by multiplying the highest exponent prime factors of 8370 and 8378. First we will calculate the prime factors of 8370 and 8378.

Prime Factorization of 8370


2 8370
3 4185
3 1395
3 465
5 155
31 31
1

Prime factors of 8370 are 2, 3, 5,31. Prime factorization of 8370 in exponential form is:

8370 = 21×33×51×311

Prime Factorization of 8378


2 8378
59 4189
71 71
1

Prime factors of 8378 are 2, 59,71. Prime factorization of 8378 in exponential form is:

8378 = 21×591×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8370 and 8378.

LCM(8370,8378) = 21×33×51×311×591×711
LCM(8370,8378) = 35061930

Factors of 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370

Factors of 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1, 2, 59, 71, 118, 142, 4189, 8378

Least Common Multiple of 8370 and 8378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8370 and 8378, than apply into the LCM equation.

GCF(8370,8378) = 2
LCM(8370,8378) = ( 8370 × 8378) / 2
LCM(8370,8378) = 70123860 / 2
LCM(8370,8378) = 35061930

Properties of LCM 8370 and 8378

(i) The LCM of 8378 and 8370 is associative

LCM of 8370 and 8378 = LCM of 8378 and 8370

Related Least Common Multiples of 8370

Related Least Common Multiples of 8378

Frequently Asked Questions on LCM of 8370 and 8378

1. What is the LCM of 8370 and 8378?

Answer: LCM of 8370 and 8378 is 35061930.

2. What are the Factors of 8370?

Answer: Factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370. There are 32 integers that are factors of 8370. The greatest factor of 8370 is 8370.

3. What are the Factors of 8378?

Answer: Factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378. There are 8 integers that are factors of 8378. The greatest factor of 8378 is 8378.

4. How to Find the LCM of 8370 and 8378?

Answer:

Least Common Multiple of 8370 and 8378 = 35061930

Step 1: Find the prime factorization of 8370

8370 = 2 x 3 x 3 x 3 x 5 x 31

Step 2: Find the prime factorization of 8378

8378 = 2 x 59 x 71

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

LCM = 35061930 = 2 x 3 x 3 x 3 x 5 x 31 x 59 x 71

Step 4: Therefore, the least common multiple of 8370 and 8378 is 35061930.