Least Common Multiple of 8442 and 8450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8442 and 8450 the smallest integer that is 35667450 that is divisible by both numbers.

Least Common Multiple (LCM) of 8442 and 8450 is 35667450.

LCM(8442,8450) = 35667450

LCM of 8442 and 8450

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

LCM of:
and

Least Common Multiple of 8442 and 8450

LCM of 8442 and 8450 is 35667450

Least common multiple can be found by multiplying the highest exponent prime factors of 8442 and 8450. First we will calculate the prime factors of 8442 and 8450.

Prime Factorization of 8442


2 8442
3 4221
3 1407
7 469
67 67
1

Prime factors of 8442 are 2, 3, 7,67. Prime factorization of 8442 in exponential form is:

8442 = 21×32×71×671

Prime Factorization of 8450


2 8450
5 4225
5 845
13 169
13 13
1

Prime factors of 8450 are 2, 5,13. Prime factorization of 8450 in exponential form is:

8450 = 21×52×132

Now multiplying the highest exponent prime factors to calculate the LCM of 8442 and 8450.

LCM(8442,8450) = 21×32×52×71×132×671
LCM(8442,8450) = 35667450

Factors of 8442

List of positive integer factors of 8442 that divides 8442 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442

Factors of 8450

List of positive integer factors of 8450 that divides 8450 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450

Least Common Multiple of 8442 and 8450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8442 and 8450, than apply into the LCM equation.

GCF(8442,8450) = 2
LCM(8442,8450) = ( 8442 × 8450) / 2
LCM(8442,8450) = 71334900 / 2
LCM(8442,8450) = 35667450

Properties of LCM 8442 and 8450

(i) The LCM of 8450 and 8442 is associative

LCM of 8442 and 8450 = LCM of 8450 and 8442

Related Least Common Multiples of 8442

Related Least Common Multiples of 8450

Frequently Asked Questions on LCM of 8442 and 8450

1. What is the LCM of 8442 and 8450?

Answer: LCM of 8442 and 8450 is 35667450.

2. What are the Factors of 8442?

Answer: Factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442. There are 24 integers that are factors of 8442. The greatest factor of 8442 is 8442.

3. What are the Factors of 8450?

Answer: Factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450. There are 18 integers that are factors of 8450. The greatest factor of 8450 is 8450.

4. How to Find the LCM of 8442 and 8450?

Answer:

Least Common Multiple of 8442 and 8450 = 35667450

Step 1: Find the prime factorization of 8442

8442 = 2 x 3 x 3 x 7 x 67

Step 2: Find the prime factorization of 8450

8450 = 2 x 5 x 5 x 13 x 13

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

LCM = 35667450 = 2 x 3 x 3 x 5 x 5 x 7 x 13 x 13 x 67

Step 4: Therefore, the least common multiple of 8442 and 8450 is 35667450.