Least Common Multiple of 8370 and 8376

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 8376 the smallest integer that is 11684520 that is divisible by both numbers.

Least Common Multiple (LCM) of 8370 and 8376 is 11684520.

LCM(8370,8376) = 11684520

LCM of 8370 and 8376

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

LCM of:
and

Least Common Multiple of 8370 and 8376

LCM of 8370 and 8376 is 11684520

Least common multiple can be found by multiplying the highest exponent prime factors of 8370 and 8376. First we will calculate the prime factors of 8370 and 8376.

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 8376


2 8376
2 4188
2 2094
3 1047
349 349
1

Prime factors of 8376 are 2, 3,349. Prime factorization of 8376 in exponential form is:

8376 = 23×31×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 8370 and 8376.

LCM(8370,8376) = 23×33×51×311×3491
LCM(8370,8376) = 11684520

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 8376

List of positive integer factors of 8376 that divides 8376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376

Least Common Multiple of 8370 and 8376 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 8376, than apply into the LCM equation.

GCF(8370,8376) = 6
LCM(8370,8376) = ( 8370 × 8376) / 6
LCM(8370,8376) = 70107120 / 6
LCM(8370,8376) = 11684520

Properties of LCM 8370 and 8376

(i) The LCM of 8376 and 8370 is associative

LCM of 8370 and 8376 = LCM of 8376 and 8370

Related Least Common Multiples of 8370

Related Least Common Multiples of 8376

Frequently Asked Questions on LCM of 8370 and 8376

1. What is the LCM of 8370 and 8376?

Answer: LCM of 8370 and 8376 is 11684520.

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 8376?

Answer: Factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376. There are 16 integers that are factors of 8376. The greatest factor of 8376 is 8376.

4. How to Find the LCM of 8370 and 8376?

Answer:

Least Common Multiple of 8370 and 8376 = 11684520

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 8376

8376 = 2 x 2 x 2 x 3 x 349

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

LCM = 11684520 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 31 x 349

Step 4: Therefore, the least common multiple of 8370 and 8376 is 11684520.