Least Common Multiple of 2146 and 2152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2146 and 2152 the smallest integer that is 2309096 that is divisible by both numbers.

Least Common Multiple (LCM) of 2146 and 2152 is 2309096.

LCM(2146,2152) = 2309096

LCM of 2146 and 2152

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

LCM of:
and

Least Common Multiple of 2146 and 2152

LCM of 2146 and 2152 is 2309096

Least common multiple can be found by multiplying the highest exponent prime factors of 2146 and 2152. First we will calculate the prime factors of 2146 and 2152.

Prime Factorization of 2146


2 2146
29 1073
37 37
1

Prime factors of 2146 are 2, 29,37. Prime factorization of 2146 in exponential form is:

2146 = 21×291×371

Prime Factorization of 2152


2 2152
2 1076
2 538
269 269
1

Prime factors of 2152 are 2,269. Prime factorization of 2152 in exponential form is:

2152 = 23×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 2146 and 2152.

LCM(2146,2152) = 23×291×371×2691
LCM(2146,2152) = 2309096

Factors of 2146

List of positive integer factors of 2146 that divides 2146 without a remainder.

1, 2, 29, 37, 58, 74, 1073, 2146

Factors of 2152

List of positive integer factors of 2152 that divides 2152 without a remainder.

1, 2, 4, 8, 269, 538, 1076, 2152

Least Common Multiple of 2146 and 2152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2146 and 2152, than apply into the LCM equation.

GCF(2146,2152) = 2
LCM(2146,2152) = ( 2146 × 2152) / 2
LCM(2146,2152) = 4618192 / 2
LCM(2146,2152) = 2309096

Properties of LCM 2146 and 2152

(i) The LCM of 2152 and 2146 is associative

LCM of 2146 and 2152 = LCM of 2152 and 2146

Related Least Common Multiples of 2146

Related Least Common Multiples of 2152

Frequently Asked Questions on LCM of 2146 and 2152

1. What is the LCM of 2146 and 2152?

Answer: LCM of 2146 and 2152 is 2309096.

2. What are the Factors of 2146?

Answer: Factors of 2146 are 1, 2, 29, 37, 58, 74, 1073, 2146. There are 8 integers that are factors of 2146. The greatest factor of 2146 is 2146.

3. What are the Factors of 2152?

Answer: Factors of 2152 are 1, 2, 4, 8, 269, 538, 1076, 2152. There are 8 integers that are factors of 2152. The greatest factor of 2152 is 2152.

4. How to Find the LCM of 2146 and 2152?

Answer:

Least Common Multiple of 2146 and 2152 = 2309096

Step 1: Find the prime factorization of 2146

2146 = 2 x 29 x 37

Step 2: Find the prime factorization of 2152

2152 = 2 x 2 x 2 x 269

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

LCM = 2309096 = 2 x 2 x 2 x 29 x 37 x 269

Step 4: Therefore, the least common multiple of 2146 and 2152 is 2309096.