Least Common Multiple of 8370 and 8377

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 8377 the smallest integer that is 70115490 that is divisible by both numbers.

Least Common Multiple (LCM) of 8370 and 8377 is 70115490.

LCM(8370,8377) = 70115490

LCM of 8370 and 8377

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

LCM of:
and

Least Common Multiple of 8370 and 8377

LCM of 8370 and 8377 is 70115490

Least common multiple can be found by multiplying the highest exponent prime factors of 8370 and 8377. First we will calculate the prime factors of 8370 and 8377.

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 8377


8377 8377
1

Prime factors of 8377 are 8377. Prime factorization of 8377 in exponential form is:

8377 = 83771

Now multiplying the highest exponent prime factors to calculate the LCM of 8370 and 8377.

LCM(8370,8377) = 21×33×51×311×83771
LCM(8370,8377) = 70115490

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 8377

List of positive integer factors of 8377 that divides 8377 without a remainder.

1, 8377

Least Common Multiple of 8370 and 8377 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 8377, than apply into the LCM equation.

GCF(8370,8377) = 1
LCM(8370,8377) = ( 8370 × 8377) / 1
LCM(8370,8377) = 70115490 / 1
LCM(8370,8377) = 70115490

Properties of LCM 8370 and 8377

(i) The LCM of 8377 and 8370 is associative

LCM of 8370 and 8377 = LCM of 8377 and 8370

Related Least Common Multiples of 8370

Related Least Common Multiples of 8377

Frequently Asked Questions on LCM of 8370 and 8377

1. What is the LCM of 8370 and 8377?

Answer: LCM of 8370 and 8377 is 70115490.

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 8377?

Answer: Factors of 8377 are 1, 8377. There are 2 integers that are factors of 8377. The greatest factor of 8377 is 8377.

4. How to Find the LCM of 8370 and 8377?

Answer:

Least Common Multiple of 8370 and 8377 = 70115490

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 8377

8377 = 8377

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

LCM = 70115490 = 2 x 3 x 3 x 3 x 5 x 31 x 8377

Step 4: Therefore, the least common multiple of 8370 and 8377 is 70115490.