Least Common Multiple of 4274 and 4277

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 4277 the smallest integer that is 18279898 that is divisible by both numbers.

Least Common Multiple (LCM) of 4274 and 4277 is 18279898.

LCM(4274,4277) = 18279898

LCM of 4274 and 4277

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

LCM of:
and

Least Common Multiple of 4274 and 4277

LCM of 4274 and 4277 is 18279898

Least common multiple can be found by multiplying the highest exponent prime factors of 4274 and 4277. First we will calculate the prime factors of 4274 and 4277.

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 4277


7 4277
13 611
47 47
1

Prime factors of 4277 are 7, 13,47. Prime factorization of 4277 in exponential form is:

4277 = 71×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4274 and 4277.

LCM(4274,4277) = 21×71×131×471×21371
LCM(4274,4277) = 18279898

Factors of 4274

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

1, 2, 2137, 4274

Factors of 4277

List of positive integer factors of 4277 that divides 4277 without a remainder.

1, 7, 13, 47, 91, 329, 611, 4277

Least Common Multiple of 4274 and 4277 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 4277, than apply into the LCM equation.

GCF(4274,4277) = 1
LCM(4274,4277) = ( 4274 × 4277) / 1
LCM(4274,4277) = 18279898 / 1
LCM(4274,4277) = 18279898

Properties of LCM 4274 and 4277

(i) The LCM of 4277 and 4274 is associative

LCM of 4274 and 4277 = LCM of 4277 and 4274

Related Least Common Multiples of 4274

Related Least Common Multiples of 4277

Frequently Asked Questions on LCM of 4274 and 4277

1. What is the LCM of 4274 and 4277?

Answer: LCM of 4274 and 4277 is 18279898.

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 4277?

Answer: Factors of 4277 are 1, 7, 13, 47, 91, 329, 611, 4277. There are 8 integers that are factors of 4277. The greatest factor of 4277 is 4277.

4. How to Find the LCM of 4274 and 4277?

Answer:

Least Common Multiple of 4274 and 4277 = 18279898

Step 1: Find the prime factorization of 4274

4274 = 2 x 2137

Step 2: Find the prime factorization of 4277

4277 = 7 x 13 x 47

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

LCM = 18279898 = 2 x 7 x 13 x 47 x 2137

Step 4: Therefore, the least common multiple of 4274 and 4277 is 18279898.