Least Common Multiple of 8370 and 8374

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 8374 the smallest integer that is 35045190 that is divisible by both numbers.

Least Common Multiple (LCM) of 8370 and 8374 is 35045190.

LCM(8370,8374) = 35045190

LCM of 8370 and 8374

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

LCM of:
and

Least Common Multiple of 8370 and 8374

LCM of 8370 and 8374 is 35045190

Least common multiple can be found by multiplying the highest exponent prime factors of 8370 and 8374. First we will calculate the prime factors of 8370 and 8374.

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 8374


2 8374
53 4187
79 79
1

Prime factors of 8374 are 2, 53,79. Prime factorization of 8374 in exponential form is:

8374 = 21×531×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8370 and 8374.

LCM(8370,8374) = 21×33×51×311×531×791
LCM(8370,8374) = 35045190

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 8374

List of positive integer factors of 8374 that divides 8374 without a remainder.

1, 2, 53, 79, 106, 158, 4187, 8374

Least Common Multiple of 8370 and 8374 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 8374, than apply into the LCM equation.

GCF(8370,8374) = 2
LCM(8370,8374) = ( 8370 × 8374) / 2
LCM(8370,8374) = 70090380 / 2
LCM(8370,8374) = 35045190

Properties of LCM 8370 and 8374

(i) The LCM of 8374 and 8370 is associative

LCM of 8370 and 8374 = LCM of 8374 and 8370

Related Least Common Multiples of 8370

Related Least Common Multiples of 8374

Frequently Asked Questions on LCM of 8370 and 8374

1. What is the LCM of 8370 and 8374?

Answer: LCM of 8370 and 8374 is 35045190.

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 8374?

Answer: Factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374. There are 8 integers that are factors of 8374. The greatest factor of 8374 is 8374.

4. How to Find the LCM of 8370 and 8374?

Answer:

Least Common Multiple of 8370 and 8374 = 35045190

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 8374

8374 = 2 x 53 x 79

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

LCM = 35045190 = 2 x 3 x 3 x 3 x 5 x 31 x 53 x 79

Step 4: Therefore, the least common multiple of 8370 and 8374 is 35045190.