Least Common Multiple of 6342 and 6350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6342 and 6350 the smallest integer that is 20135850 that is divisible by both numbers.

Least Common Multiple (LCM) of 6342 and 6350 is 20135850.

LCM(6342,6350) = 20135850

LCM of 6342 and 6350

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

LCM of:
and

Least Common Multiple of 6342 and 6350

LCM of 6342 and 6350 is 20135850

Least common multiple can be found by multiplying the highest exponent prime factors of 6342 and 6350. First we will calculate the prime factors of 6342 and 6350.

Prime Factorization of 6342


2 6342
3 3171
7 1057
151 151
1

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

6342 = 21×31×71×1511

Prime Factorization of 6350


2 6350
5 3175
5 635
127 127
1

Prime factors of 6350 are 2, 5,127. Prime factorization of 6350 in exponential form is:

6350 = 21×52×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 6342 and 6350.

LCM(6342,6350) = 21×31×52×71×1271×1511
LCM(6342,6350) = 20135850

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

Factors of 6350

List of positive integer factors of 6350 that divides 6350 without a remainder.

1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350

Least Common Multiple of 6342 and 6350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6342 and 6350, than apply into the LCM equation.

GCF(6342,6350) = 2
LCM(6342,6350) = ( 6342 × 6350) / 2
LCM(6342,6350) = 40271700 / 2
LCM(6342,6350) = 20135850

Properties of LCM 6342 and 6350

(i) The LCM of 6350 and 6342 is associative

LCM of 6342 and 6350 = LCM of 6350 and 6342

Related Least Common Multiples of 6342

Related Least Common Multiples of 6350

Frequently Asked Questions on LCM of 6342 and 6350

1. What is the LCM of 6342 and 6350?

Answer: LCM of 6342 and 6350 is 20135850.

2. 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.

3. What are the Factors of 6350?

Answer: Factors of 6350 are 1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350. There are 12 integers that are factors of 6350. The greatest factor of 6350 is 6350.

4. How to Find the LCM of 6342 and 6350?

Answer:

Least Common Multiple of 6342 and 6350 = 20135850

Step 1: Find the prime factorization of 6342

6342 = 2 x 3 x 7 x 151

Step 2: Find the prime factorization of 6350

6350 = 2 x 5 x 5 x 127

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

LCM = 20135850 = 2 x 3 x 5 x 5 x 7 x 127 x 151

Step 4: Therefore, the least common multiple of 6342 and 6350 is 20135850.