Least Common Multiple of 4276 and 4282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4276 and 4282 the smallest integer that is 9154916 that is divisible by both numbers.

Least Common Multiple (LCM) of 4276 and 4282 is 9154916.

LCM(4276,4282) = 9154916

LCM of 4276 and 4282

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

LCM of:
and

Least Common Multiple of 4276 and 4282

LCM of 4276 and 4282 is 9154916

Least common multiple can be found by multiplying the highest exponent prime factors of 4276 and 4282. First we will calculate the prime factors of 4276 and 4282.

Prime Factorization of 4276


2 4276
2 2138
1069 1069
1

Prime factors of 4276 are 2,1069. Prime factorization of 4276 in exponential form is:

4276 = 22×10691

Prime Factorization of 4282


2 4282
2141 2141
1

Prime factors of 4282 are 2,2141. Prime factorization of 4282 in exponential form is:

4282 = 21×21411

Now multiplying the highest exponent prime factors to calculate the LCM of 4276 and 4282.

LCM(4276,4282) = 22×10691×21411
LCM(4276,4282) = 9154916

Factors of 4276

List of positive integer factors of 4276 that divides 4276 without a remainder.

1, 2, 4, 1069, 2138, 4276

Factors of 4282

List of positive integer factors of 4282 that divides 4282 without a remainder.

1, 2, 2141, 4282

Least Common Multiple of 4276 and 4282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4276 and 4282, than apply into the LCM equation.

GCF(4276,4282) = 2
LCM(4276,4282) = ( 4276 × 4282) / 2
LCM(4276,4282) = 18309832 / 2
LCM(4276,4282) = 9154916

Properties of LCM 4276 and 4282

(i) The LCM of 4282 and 4276 is associative

LCM of 4276 and 4282 = LCM of 4282 and 4276

Related Least Common Multiples of 4276

Related Least Common Multiples of 4282

Frequently Asked Questions on LCM of 4276 and 4282

1. What is the LCM of 4276 and 4282?

Answer: LCM of 4276 and 4282 is 9154916.

2. What are the Factors of 4276?

Answer: Factors of 4276 are 1, 2, 4, 1069, 2138, 4276. There are 6 integers that are factors of 4276. The greatest factor of 4276 is 4276.

3. What are the Factors of 4282?

Answer: Factors of 4282 are 1, 2, 2141, 4282. There are 4 integers that are factors of 4282. The greatest factor of 4282 is 4282.

4. How to Find the LCM of 4276 and 4282?

Answer:

Least Common Multiple of 4276 and 4282 = 9154916

Step 1: Find the prime factorization of 4276

4276 = 2 x 2 x 1069

Step 2: Find the prime factorization of 4282

4282 = 2 x 2141

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

LCM = 9154916 = 2 x 2 x 1069 x 2141

Step 4: Therefore, the least common multiple of 4276 and 4282 is 9154916.