Least Common Multiple of 8408 and 8414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8408 and 8414 the smallest integer that is 35372456 that is divisible by both numbers.

Least Common Multiple (LCM) of 8408 and 8414 is 35372456.

LCM(8408,8414) = 35372456

LCM of 8408 and 8414

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

LCM of:
and

Least Common Multiple of 8408 and 8414

LCM of 8408 and 8414 is 35372456

Least common multiple can be found by multiplying the highest exponent prime factors of 8408 and 8414. First we will calculate the prime factors of 8408 and 8414.

Prime Factorization of 8408


2 8408
2 4204
2 2102
1051 1051
1

Prime factors of 8408 are 2,1051. Prime factorization of 8408 in exponential form is:

8408 = 23×10511

Prime Factorization of 8414


2 8414
7 4207
601 601
1

Prime factors of 8414 are 2, 7,601. Prime factorization of 8414 in exponential form is:

8414 = 21×71×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 8408 and 8414.

LCM(8408,8414) = 23×71×6011×10511
LCM(8408,8414) = 35372456

Factors of 8408

List of positive integer factors of 8408 that divides 8408 without a remainder.

1, 2, 4, 8, 1051, 2102, 4204, 8408

Factors of 8414

List of positive integer factors of 8414 that divides 8414 without a remainder.

1, 2, 7, 14, 601, 1202, 4207, 8414

Least Common Multiple of 8408 and 8414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8408 and 8414, than apply into the LCM equation.

GCF(8408,8414) = 2
LCM(8408,8414) = ( 8408 × 8414) / 2
LCM(8408,8414) = 70744912 / 2
LCM(8408,8414) = 35372456

Properties of LCM 8408 and 8414

(i) The LCM of 8414 and 8408 is associative

LCM of 8408 and 8414 = LCM of 8414 and 8408

Related Least Common Multiples of 8408

Related Least Common Multiples of 8414

Frequently Asked Questions on LCM of 8408 and 8414

1. What is the LCM of 8408 and 8414?

Answer: LCM of 8408 and 8414 is 35372456.

2. What are the Factors of 8408?

Answer: Factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408. There are 8 integers that are factors of 8408. The greatest factor of 8408 is 8408.

3. What are the Factors of 8414?

Answer: Factors of 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414. There are 8 integers that are factors of 8414. The greatest factor of 8414 is 8414.

4. How to Find the LCM of 8408 and 8414?

Answer:

Least Common Multiple of 8408 and 8414 = 35372456

Step 1: Find the prime factorization of 8408

8408 = 2 x 2 x 2 x 1051

Step 2: Find the prime factorization of 8414

8414 = 2 x 7 x 601

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

LCM = 35372456 = 2 x 2 x 2 x 7 x 601 x 1051

Step 4: Therefore, the least common multiple of 8408 and 8414 is 35372456.