Least Common Multiple of 2149 and 2157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2149 and 2157 the smallest integer that is 4635393 that is divisible by both numbers.

Least Common Multiple (LCM) of 2149 and 2157 is 4635393.

LCM(2149,2157) = 4635393

LCM of 2149 and 2157

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

LCM of:
and

Least Common Multiple of 2149 and 2157

LCM of 2149 and 2157 is 4635393

Least common multiple can be found by multiplying the highest exponent prime factors of 2149 and 2157. First we will calculate the prime factors of 2149 and 2157.

Prime Factorization of 2149


7 2149
307 307
1

Prime factors of 2149 are 7,307. Prime factorization of 2149 in exponential form is:

2149 = 71×3071

Prime Factorization of 2157


3 2157
719 719
1

Prime factors of 2157 are 3,719. Prime factorization of 2157 in exponential form is:

2157 = 31×7191

Now multiplying the highest exponent prime factors to calculate the LCM of 2149 and 2157.

LCM(2149,2157) = 31×71×3071×7191
LCM(2149,2157) = 4635393

Factors of 2149

List of positive integer factors of 2149 that divides 2149 without a remainder.

1, 7, 307, 2149

Factors of 2157

List of positive integer factors of 2157 that divides 2157 without a remainder.

1, 3, 719, 2157

Least Common Multiple of 2149 and 2157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2149 and 2157, than apply into the LCM equation.

GCF(2149,2157) = 1
LCM(2149,2157) = ( 2149 × 2157) / 1
LCM(2149,2157) = 4635393 / 1
LCM(2149,2157) = 4635393

Properties of LCM 2149 and 2157

(i) The LCM of 2157 and 2149 is associative

LCM of 2149 and 2157 = LCM of 2157 and 2149

Related Least Common Multiples of 2149

Related Least Common Multiples of 2157

Frequently Asked Questions on LCM of 2149 and 2157

1. What is the LCM of 2149 and 2157?

Answer: LCM of 2149 and 2157 is 4635393.

2. What are the Factors of 2149?

Answer: Factors of 2149 are 1, 7, 307, 2149. There are 4 integers that are factors of 2149. The greatest factor of 2149 is 2149.

3. What are the Factors of 2157?

Answer: Factors of 2157 are 1, 3, 719, 2157. There are 4 integers that are factors of 2157. The greatest factor of 2157 is 2157.

4. How to Find the LCM of 2149 and 2157?

Answer:

Least Common Multiple of 2149 and 2157 = 4635393

Step 1: Find the prime factorization of 2149

2149 = 7 x 307

Step 2: Find the prime factorization of 2157

2157 = 3 x 719

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

LCM = 4635393 = 3 x 7 x 307 x 719

Step 4: Therefore, the least common multiple of 2149 and 2157 is 4635393.