Least Common Multiple of 6341 and 6342

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

• Least Common Multiple of 6341 and 6342 by Prime method
• Least Common Multiple of 6341 and 6342 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 6341 and 6342. First we will calculate the prime factors of 6341 and 6342.

Prime Factorization of 6341

Prime factors of 6341 are 17,373. Prime factorization of 6341 in exponential form is:

6341 = 17¹×373¹

Prime Factorization of 6342

Prime factors of 6342 are 2, 3, 7,151. Prime factorization of 6342 in exponential form is:

6342 = 2¹×3¹×7¹×151¹

Now multiplying the highest exponent prime factors to calculate the LCM of 6341 and 6342.

LCM(6341,6342) = 2¹×3¹×7¹×17¹×151¹×373¹
LCM(6341,6342) = 40214622

Factors of 6341

List of positive integer factors of 6341 that divides 6341 without a remainder.

1, 17, 373, 6341

Factors of 6342

List of positive integer factors of 6342 that divides 6342 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6341 and 6342, than apply into the LCM equation.

GCF(6341,6342) = 1
LCM(6341,6342) = ( 6341 × 6342) / 1
LCM(6341,6342) = 40214622 / 1
LCM(6341,6342) = 40214622

(i) The LCM of 6342 and 6341 is associative

LCM of 6341 and 6342 = LCM of 6342 and 6341

1. What is the LCM of 6341 and 6342?

Answer: LCM of 6341 and 6342 is 40214622.

2. What are the Factors of 6341?

Answer: Factors of 6341 are 1, 17, 373, 6341. There are 4 integers that are factors of 6341. The greatest factor of 6341 is 6341.

3. What are the Factors of 6342?

Answer: Factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342. There are 16 integers that are factors of 6342. The greatest factor of 6342 is 6342.

4. How to Find the LCM of 6341 and 6342?

Answer:

Least Common Multiple of 6341 and 6342 = 40214622

Step 1: Find the prime factorization of 6341

6341 = 17 x 373

Step 2: Find the prime factorization of 6342

6342 = 2 x 3 x 7 x 151

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

LCM = 40214622 = 2 x 3 x 7 x 17 x 151 x 373

Step 4: Therefore, the least common multiple of 6341 and 6342 is 40214622.