Least Common Multiple of 4274 and 4279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4274 and 4279 the smallest integer that is 18288446 that is divisible by both numbers.

Least Common Multiple (LCM) of 4274 and 4279 is 18288446.

LCM(4274,4279) = 18288446

LCM of 4274 and 4279

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

LCM of:
and

Least Common Multiple of 4274 and 4279

LCM of 4274 and 4279 is 18288446

Least common multiple can be found by multiplying the highest exponent prime factors of 4274 and 4279. First we will calculate the prime factors of 4274 and 4279.

Prime Factorization of 4274


2 4274
2137 2137
1

Prime factors of 4274 are 2,2137. Prime factorization of 4274 in exponential form is:

4274 = 21×21371

Prime Factorization of 4279


11 4279
389 389
1

Prime factors of 4279 are 11,389. Prime factorization of 4279 in exponential form is:

4279 = 111×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 4274 and 4279.

LCM(4274,4279) = 21×111×3891×21371
LCM(4274,4279) = 18288446

Factors of 4274

List of positive integer factors of 4274 that divides 4274 without a remainder.

1, 2, 2137, 4274

Factors of 4279

List of positive integer factors of 4279 that divides 4279 without a remainder.

1, 11, 389, 4279

Least Common Multiple of 4274 and 4279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4274 and 4279, than apply into the LCM equation.

GCF(4274,4279) = 1
LCM(4274,4279) = ( 4274 × 4279) / 1
LCM(4274,4279) = 18288446 / 1
LCM(4274,4279) = 18288446

Properties of LCM 4274 and 4279

(i) The LCM of 4279 and 4274 is associative

LCM of 4274 and 4279 = LCM of 4279 and 4274

Related Least Common Multiples of 4274

Related Least Common Multiples of 4279

Frequently Asked Questions on LCM of 4274 and 4279

1. What is the LCM of 4274 and 4279?

Answer: LCM of 4274 and 4279 is 18288446.

2. What are the Factors of 4274?

Answer: Factors of 4274 are 1, 2, 2137, 4274. There are 4 integers that are factors of 4274. The greatest factor of 4274 is 4274.

3. What are the Factors of 4279?

Answer: Factors of 4279 are 1, 11, 389, 4279. There are 4 integers that are factors of 4279. The greatest factor of 4279 is 4279.

4. How to Find the LCM of 4274 and 4279?

Answer:

Least Common Multiple of 4274 and 4279 = 18288446

Step 1: Find the prime factorization of 4274

4274 = 2 x 2137

Step 2: Find the prime factorization of 4279

4279 = 11 x 389

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

LCM = 18288446 = 2 x 11 x 389 x 2137

Step 4: Therefore, the least common multiple of 4274 and 4279 is 18288446.