Least Common Multiple of 6350 and 6354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6350 and 6354 the smallest integer that is 20173950 that is divisible by both numbers.

Least Common Multiple (LCM) of 6350 and 6354 is 20173950.

LCM(6350,6354) = 20173950

LCM of 6350 and 6354

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

LCM of:
and

Least Common Multiple of 6350 and 6354

LCM of 6350 and 6354 is 20173950

Least common multiple can be found by multiplying the highest exponent prime factors of 6350 and 6354. First we will calculate the prime factors of 6350 and 6354.

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

Prime Factorization of 6354


2 6354
3 3177
3 1059
353 353
1

Prime factors of 6354 are 2, 3,353. Prime factorization of 6354 in exponential form is:

6354 = 21×32×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 6350 and 6354.

LCM(6350,6354) = 21×32×52×1271×3531
LCM(6350,6354) = 20173950

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

Factors of 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354

Least Common Multiple of 6350 and 6354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6350 and 6354, than apply into the LCM equation.

GCF(6350,6354) = 2
LCM(6350,6354) = ( 6350 × 6354) / 2
LCM(6350,6354) = 40347900 / 2
LCM(6350,6354) = 20173950

Properties of LCM 6350 and 6354

(i) The LCM of 6354 and 6350 is associative

LCM of 6350 and 6354 = LCM of 6354 and 6350

Related Least Common Multiples of 6350

Related Least Common Multiples of 6354

Frequently Asked Questions on LCM of 6350 and 6354

1. What is the LCM of 6350 and 6354?

Answer: LCM of 6350 and 6354 is 20173950.

2. 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.

3. What are the Factors of 6354?

Answer: Factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354. There are 12 integers that are factors of 6354. The greatest factor of 6354 is 6354.

4. How to Find the LCM of 6350 and 6354?

Answer:

Least Common Multiple of 6350 and 6354 = 20173950

Step 1: Find the prime factorization of 6350

6350 = 2 x 5 x 5 x 127

Step 2: Find the prime factorization of 6354

6354 = 2 x 3 x 3 x 353

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

LCM = 20173950 = 2 x 3 x 3 x 5 x 5 x 127 x 353

Step 4: Therefore, the least common multiple of 6350 and 6354 is 20173950.