Least Common Multiple of 8428 and 8435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8428 and 8435 the smallest integer that is 10155740 that is divisible by both numbers.

Least Common Multiple (LCM) of 8428 and 8435 is 10155740.

LCM(8428,8435) = 10155740

LCM of 8428 and 8435

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

LCM of:
and

Least Common Multiple of 8428 and 8435

LCM of 8428 and 8435 is 10155740

Least common multiple can be found by multiplying the highest exponent prime factors of 8428 and 8435. First we will calculate the prime factors of 8428 and 8435.

Prime Factorization of 8428


2 8428
2 4214
7 2107
7 301
43 43
1

Prime factors of 8428 are 2, 7,43. Prime factorization of 8428 in exponential form is:

8428 = 22×72×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8428 and 8435.

LCM(8428,8435) = 22×51×72×431×2411
LCM(8428,8435) = 10155740

Factors of 8428

List of positive integer factors of 8428 that divides 8428 without a remainder.

1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428

Factors of 8435

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

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

Least Common Multiple of 8428 and 8435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8428 and 8435, than apply into the LCM equation.

GCF(8428,8435) = 7
LCM(8428,8435) = ( 8428 × 8435) / 7
LCM(8428,8435) = 71090180 / 7
LCM(8428,8435) = 10155740

Properties of LCM 8428 and 8435

(i) The LCM of 8435 and 8428 is associative

LCM of 8428 and 8435 = LCM of 8435 and 8428

Related Least Common Multiples of 8428

Related Least Common Multiples of 8435

Frequently Asked Questions on LCM of 8428 and 8435

1. What is the LCM of 8428 and 8435?

Answer: LCM of 8428 and 8435 is 10155740.

2. What are the Factors of 8428?

Answer: Factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428. There are 18 integers that are factors of 8428. The greatest factor of 8428 is 8428.

3. 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.

4. How to Find the LCM of 8428 and 8435?

Answer:

Least Common Multiple of 8428 and 8435 = 10155740

Step 1: Find the prime factorization of 8428

8428 = 2 x 2 x 7 x 7 x 43

Step 2: Find the prime factorization of 8435

8435 = 5 x 7 x 241

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

LCM = 10155740 = 2 x 2 x 5 x 7 x 7 x 43 x 241

Step 4: Therefore, the least common multiple of 8428 and 8435 is 10155740.