Least Common Multiple of 10274 and 10279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10274 and 10279 the smallest integer that is 105606446 that is divisible by both numbers.

Least Common Multiple (LCM) of 10274 and 10279 is 105606446.

LCM(10274,10279) = 105606446

LCM of 10274 and 10279

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

LCM of:
and

Least Common Multiple of 10274 and 10279

LCM of 10274 and 10279 is 105606446

Least common multiple can be found by multiplying the highest exponent prime factors of 10274 and 10279. First we will calculate the prime factors of 10274 and 10279.

Prime Factorization of 10274


2 10274
11 5137
467 467
1

Prime factors of 10274 are 2, 11,467. Prime factorization of 10274 in exponential form is:

10274 = 21×111×4671

Prime Factorization of 10279


19 10279
541 541
1

Prime factors of 10279 are 19,541. Prime factorization of 10279 in exponential form is:

10279 = 191×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 10274 and 10279.

LCM(10274,10279) = 21×111×191×4671×5411
LCM(10274,10279) = 105606446

Factors of 10274

List of positive integer factors of 10274 that divides 10274 without a remainder.

1, 2, 11, 22, 467, 934, 5137, 10274

Factors of 10279

List of positive integer factors of 10279 that divides 10279 without a remainder.

1, 19, 541, 10279

Least Common Multiple of 10274 and 10279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10274 and 10279, than apply into the LCM equation.

GCF(10274,10279) = 1
LCM(10274,10279) = ( 10274 × 10279) / 1
LCM(10274,10279) = 105606446 / 1
LCM(10274,10279) = 105606446

Properties of LCM 10274 and 10279

(i) The LCM of 10279 and 10274 is associative

LCM of 10274 and 10279 = LCM of 10279 and 10274

Related Least Common Multiples of 10274

Related Least Common Multiples of 10279

Frequently Asked Questions on LCM of 10274 and 10279

1. What is the LCM of 10274 and 10279?

Answer: LCM of 10274 and 10279 is 105606446.

2. What are the Factors of 10274?

Answer: Factors of 10274 are 1, 2, 11, 22, 467, 934, 5137, 10274. There are 8 integers that are factors of 10274. The greatest factor of 10274 is 10274.

3. What are the Factors of 10279?

Answer: Factors of 10279 are 1, 19, 541, 10279. There are 4 integers that are factors of 10279. The greatest factor of 10279 is 10279.

4. How to Find the LCM of 10274 and 10279?

Answer:

Least Common Multiple of 10274 and 10279 = 105606446

Step 1: Find the prime factorization of 10274

10274 = 2 x 11 x 467

Step 2: Find the prime factorization of 10279

10279 = 19 x 541

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

LCM = 105606446 = 2 x 11 x 19 x 467 x 541

Step 4: Therefore, the least common multiple of 10274 and 10279 is 105606446.