Least Common Multiple of 2137 and 2142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2137 and 2142 the smallest integer that is 4577454 that is divisible by both numbers.

Least Common Multiple (LCM) of 2137 and 2142 is 4577454.

LCM(2137,2142) = 4577454

LCM of 2137 and 2142

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

LCM of:
and

Least Common Multiple of 2137 and 2142

LCM of 2137 and 2142 is 4577454

Least common multiple can be found by multiplying the highest exponent prime factors of 2137 and 2142. First we will calculate the prime factors of 2137 and 2142.

Prime Factorization of 2137


2137 2137
1

Prime factors of 2137 are 2137. Prime factorization of 2137 in exponential form is:

2137 = 21371

Prime Factorization of 2142


2 2142
3 1071
3 357
7 119
17 17
1

Prime factors of 2142 are 2, 3, 7,17. Prime factorization of 2142 in exponential form is:

2142 = 21×32×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2137 and 2142.

LCM(2137,2142) = 21×32×71×171×21371
LCM(2137,2142) = 4577454

Factors of 2137

List of positive integer factors of 2137 that divides 2137 without a remainder.

1, 2137

Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142

Least Common Multiple of 2137 and 2142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2137 and 2142, than apply into the LCM equation.

GCF(2137,2142) = 1
LCM(2137,2142) = ( 2137 × 2142) / 1
LCM(2137,2142) = 4577454 / 1
LCM(2137,2142) = 4577454

Properties of LCM 2137 and 2142

(i) The LCM of 2142 and 2137 is associative

LCM of 2137 and 2142 = LCM of 2142 and 2137

Related Least Common Multiples of 2137

Related Least Common Multiples of 2142

Frequently Asked Questions on LCM of 2137 and 2142

1. What is the LCM of 2137 and 2142?

Answer: LCM of 2137 and 2142 is 4577454.

2. What are the Factors of 2137?

Answer: Factors of 2137 are 1, 2137. There are 2 integers that are factors of 2137. The greatest factor of 2137 is 2137.

3. What are the Factors of 2142?

Answer: Factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142. There are 24 integers that are factors of 2142. The greatest factor of 2142 is 2142.

4. How to Find the LCM of 2137 and 2142?

Answer:

Least Common Multiple of 2137 and 2142 = 4577454

Step 1: Find the prime factorization of 2137

2137 = 2137

Step 2: Find the prime factorization of 2142

2142 = 2 x 3 x 3 x 7 x 17

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

LCM = 4577454 = 2 x 3 x 3 x 7 x 17 x 2137

Step 4: Therefore, the least common multiple of 2137 and 2142 is 4577454.