Least Common Multiple of 8435 and 8442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8435 and 8442 the smallest integer that is 10172610 that is divisible by both numbers.

Least Common Multiple (LCM) of 8435 and 8442 is 10172610.

LCM(8435,8442) = 10172610

LCM of 8435 and 8442

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

LCM of:
and

Least Common Multiple of 8435 and 8442

LCM of 8435 and 8442 is 10172610

Least common multiple can be found by multiplying the highest exponent prime factors of 8435 and 8442. First we will calculate the prime factors of 8435 and 8442.

Prime Factorization of 8435


5 8435
7 1687
241 241
1

Prime factors of 8435 are 5, 7,241. Prime factorization of 8435 in exponential form is:

8435 = 51×71×2411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8435 and 8442.

LCM(8435,8442) = 21×32×51×71×671×2411
LCM(8435,8442) = 10172610

Factors of 8435

List of positive integer factors of 8435 that divides 8435 without a remainder.

1, 5, 7, 35, 241, 1205, 1687, 8435

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

Least Common Multiple of 8435 and 8442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8435 and 8442, than apply into the LCM equation.

GCF(8435,8442) = 7
LCM(8435,8442) = ( 8435 × 8442) / 7
LCM(8435,8442) = 71208270 / 7
LCM(8435,8442) = 10172610

Properties of LCM 8435 and 8442

(i) The LCM of 8442 and 8435 is associative

LCM of 8435 and 8442 = LCM of 8442 and 8435

Related Least Common Multiples of 8435

Related Least Common Multiples of 8442

Frequently Asked Questions on LCM of 8435 and 8442

1. What is the LCM of 8435 and 8442?

Answer: LCM of 8435 and 8442 is 10172610.

2. What are the Factors of 8435?

Answer: Factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435. There are 8 integers that are factors of 8435. The greatest factor of 8435 is 8435.

3. 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.

4. How to Find the LCM of 8435 and 8442?

Answer:

Least Common Multiple of 8435 and 8442 = 10172610

Step 1: Find the prime factorization of 8435

8435 = 5 x 7 x 241

Step 2: Find the prime factorization of 8442

8442 = 2 x 3 x 3 x 7 x 67

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

LCM = 10172610 = 2 x 3 x 3 x 5 x 7 x 67 x 241

Step 4: Therefore, the least common multiple of 8435 and 8442 is 10172610.