Least Common Multiple of 8374 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 8374 and 8378 the smallest integer that is 35078686 that is divisible by both numbers.

Least Common Multiple (LCM) of 8374 and 8378 is 35078686.

LCM(8374,8378) = 35078686

LCM of 8374 and 8378

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

LCM of:
and

Least Common Multiple of 8374 and 8378

LCM of 8374 and 8378 is 35078686

Least common multiple can be found by multiplying the highest exponent prime factors of 8374 and 8378. First we will calculate the prime factors of 8374 and 8378.

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 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 8374 and 8378.

LCM(8374,8378) = 21×531×591×711×791
LCM(8374,8378) = 35078686

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 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 8374 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 8374 and 8378, than apply into the LCM equation.

GCF(8374,8378) = 2
LCM(8374,8378) = ( 8374 × 8378) / 2
LCM(8374,8378) = 70157372 / 2
LCM(8374,8378) = 35078686

Properties of LCM 8374 and 8378

(i) The LCM of 8378 and 8374 is associative

LCM of 8374 and 8378 = LCM of 8378 and 8374

Related Least Common Multiples of 8374

Related Least Common Multiples of 8378

Frequently Asked Questions on LCM of 8374 and 8378

1. What is the LCM of 8374 and 8378?

Answer: LCM of 8374 and 8378 is 35078686.

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 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 8374 and 8378?

Answer:

Least Common Multiple of 8374 and 8378 = 35078686

Step 1: Find the prime factorization of 8374

8374 = 2 x 53 x 79

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 = 35078686 = 2 x 53 x 59 x 71 x 79

Step 4: Therefore, the least common multiple of 8374 and 8378 is 35078686.