Least Common Multiple of 8374 and 8380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8374 and 8380 the smallest integer that is 35087060 that is divisible by both numbers.

Least Common Multiple (LCM) of 8374 and 8380 is 35087060.

LCM(8374,8380) = 35087060

LCM of 8374 and 8380

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

LCM of:
and

Least Common Multiple of 8374 and 8380

LCM of 8374 and 8380 is 35087060

Least common multiple can be found by multiplying the highest exponent prime factors of 8374 and 8380. First we will calculate the prime factors of 8374 and 8380.

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

Prime Factorization of 8380


2 8380
2 4190
5 2095
419 419
1

Prime factors of 8380 are 2, 5,419. Prime factorization of 8380 in exponential form is:

8380 = 22×51×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 8374 and 8380.

LCM(8374,8380) = 22×51×531×791×4191
LCM(8374,8380) = 35087060

Factors of 8374

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

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

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380

Least Common Multiple of 8374 and 8380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8374 and 8380, than apply into the LCM equation.

GCF(8374,8380) = 2
LCM(8374,8380) = ( 8374 × 8380) / 2
LCM(8374,8380) = 70174120 / 2
LCM(8374,8380) = 35087060

Properties of LCM 8374 and 8380

(i) The LCM of 8380 and 8374 is associative

LCM of 8374 and 8380 = LCM of 8380 and 8374

Related Least Common Multiples of 8374

Related Least Common Multiples of 8380

Frequently Asked Questions on LCM of 8374 and 8380

1. What is the LCM of 8374 and 8380?

Answer: LCM of 8374 and 8380 is 35087060.

2. 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.

3. What are the Factors of 8380?

Answer: Factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380. There are 12 integers that are factors of 8380. The greatest factor of 8380 is 8380.

4. How to Find the LCM of 8374 and 8380?

Answer:

Least Common Multiple of 8374 and 8380 = 35087060

Step 1: Find the prime factorization of 8374

8374 = 2 x 53 x 79

Step 2: Find the prime factorization of 8380

8380 = 2 x 2 x 5 x 419

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

LCM = 35087060 = 2 x 2 x 5 x 53 x 79 x 419

Step 4: Therefore, the least common multiple of 8374 and 8380 is 35087060.