Least Common Multiple of 4274 and 4280

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 4280 the smallest integer that is 9146360 that is divisible by both numbers.

Least Common Multiple (LCM) of 4274 and 4280 is 9146360.

LCM(4274,4280) = 9146360

LCM of 4274 and 4280

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

LCM of:
and

Least Common Multiple of 4274 and 4280

LCM of 4274 and 4280 is 9146360

Least common multiple can be found by multiplying the highest exponent prime factors of 4274 and 4280. First we will calculate the prime factors of 4274 and 4280.

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 4280


2 4280
2 2140
2 1070
5 535
107 107
1

Prime factors of 4280 are 2, 5,107. Prime factorization of 4280 in exponential form is:

4280 = 23×51×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4274 and 4280.

LCM(4274,4280) = 23×51×1071×21371
LCM(4274,4280) = 9146360

Factors of 4274

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

1, 2, 2137, 4274

Factors of 4280

List of positive integer factors of 4280 that divides 4280 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280

Least Common Multiple of 4274 and 4280 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 4280, than apply into the LCM equation.

GCF(4274,4280) = 2
LCM(4274,4280) = ( 4274 × 4280) / 2
LCM(4274,4280) = 18292720 / 2
LCM(4274,4280) = 9146360

Properties of LCM 4274 and 4280

(i) The LCM of 4280 and 4274 is associative

LCM of 4274 and 4280 = LCM of 4280 and 4274

Related Least Common Multiples of 4274

Related Least Common Multiples of 4280

Frequently Asked Questions on LCM of 4274 and 4280

1. What is the LCM of 4274 and 4280?

Answer: LCM of 4274 and 4280 is 9146360.

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 4280?

Answer: Factors of 4280 are 1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280. There are 16 integers that are factors of 4280. The greatest factor of 4280 is 4280.

4. How to Find the LCM of 4274 and 4280?

Answer:

Least Common Multiple of 4274 and 4280 = 9146360

Step 1: Find the prime factorization of 4274

4274 = 2 x 2137

Step 2: Find the prime factorization of 4280

4280 = 2 x 2 x 2 x 5 x 107

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

LCM = 9146360 = 2 x 2 x 2 x 5 x 107 x 2137

Step 4: Therefore, the least common multiple of 4274 and 4280 is 9146360.