Least Common Multiple of 2134 and 2137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2134 and 2137 the smallest integer that is 4560358 that is divisible by both numbers.

Least Common Multiple (LCM) of 2134 and 2137 is 4560358.

LCM(2134,2137) = 4560358

LCM of 2134 and 2137

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

LCM of:
and

Least Common Multiple of 2134 and 2137

LCM of 2134 and 2137 is 4560358

Least common multiple can be found by multiplying the highest exponent prime factors of 2134 and 2137. First we will calculate the prime factors of 2134 and 2137.

Prime Factorization of 2134


2 2134
11 1067
97 97
1

Prime factors of 2134 are 2, 11,97. Prime factorization of 2134 in exponential form is:

2134 = 21×111×971

Prime Factorization of 2137


2137 2137
1

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

2137 = 21371

Now multiplying the highest exponent prime factors to calculate the LCM of 2134 and 2137.

LCM(2134,2137) = 21×111×971×21371
LCM(2134,2137) = 4560358

Factors of 2134

List of positive integer factors of 2134 that divides 2134 without a remainder.

1, 2, 11, 22, 97, 194, 1067, 2134

Factors of 2137

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

1, 2137

Least Common Multiple of 2134 and 2137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2134 and 2137, than apply into the LCM equation.

GCF(2134,2137) = 1
LCM(2134,2137) = ( 2134 × 2137) / 1
LCM(2134,2137) = 4560358 / 1
LCM(2134,2137) = 4560358

Properties of LCM 2134 and 2137

(i) The LCM of 2137 and 2134 is associative

LCM of 2134 and 2137 = LCM of 2137 and 2134

Related Least Common Multiples of 2134

Related Least Common Multiples of 2137

Frequently Asked Questions on LCM of 2134 and 2137

1. What is the LCM of 2134 and 2137?

Answer: LCM of 2134 and 2137 is 4560358.

2. What are the Factors of 2134?

Answer: Factors of 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134. There are 8 integers that are factors of 2134. The greatest factor of 2134 is 2134.

3. 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.

4. How to Find the LCM of 2134 and 2137?

Answer:

Least Common Multiple of 2134 and 2137 = 4560358

Step 1: Find the prime factorization of 2134

2134 = 2 x 11 x 97

Step 2: Find the prime factorization of 2137

2137 = 2137

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

LCM = 4560358 = 2 x 11 x 97 x 2137

Step 4: Therefore, the least common multiple of 2134 and 2137 is 4560358.