Least Common Multiple of 4274 and 4278

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 4278 the smallest integer that is 9142086 that is divisible by both numbers.

Least Common Multiple (LCM) of 4274 and 4278 is 9142086.

LCM(4274,4278) = 9142086

LCM of 4274 and 4278

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

LCM of:
and

Least Common Multiple of 4274 and 4278

LCM of 4274 and 4278 is 9142086

Least common multiple can be found by multiplying the highest exponent prime factors of 4274 and 4278. First we will calculate the prime factors of 4274 and 4278.

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 4278


2 4278
3 2139
23 713
31 31
1

Prime factors of 4278 are 2, 3, 23,31. Prime factorization of 4278 in exponential form is:

4278 = 21×31×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4274 and 4278.

LCM(4274,4278) = 21×31×231×311×21371
LCM(4274,4278) = 9142086

Factors of 4274

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

1, 2, 2137, 4274

Factors of 4278

List of positive integer factors of 4278 that divides 4278 without a remainder.

1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278

Least Common Multiple of 4274 and 4278 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 4278, than apply into the LCM equation.

GCF(4274,4278) = 2
LCM(4274,4278) = ( 4274 × 4278) / 2
LCM(4274,4278) = 18284172 / 2
LCM(4274,4278) = 9142086

Properties of LCM 4274 and 4278

(i) The LCM of 4278 and 4274 is associative

LCM of 4274 and 4278 = LCM of 4278 and 4274

Related Least Common Multiples of 4274

Related Least Common Multiples of 4278

Frequently Asked Questions on LCM of 4274 and 4278

1. What is the LCM of 4274 and 4278?

Answer: LCM of 4274 and 4278 is 9142086.

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 4278?

Answer: Factors of 4278 are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278. There are 16 integers that are factors of 4278. The greatest factor of 4278 is 4278.

4. How to Find the LCM of 4274 and 4278?

Answer:

Least Common Multiple of 4274 and 4278 = 9142086

Step 1: Find the prime factorization of 4274

4274 = 2 x 2137

Step 2: Find the prime factorization of 4278

4278 = 2 x 3 x 23 x 31

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

LCM = 9142086 = 2 x 3 x 23 x 31 x 2137

Step 4: Therefore, the least common multiple of 4274 and 4278 is 9142086.