Least Common Multiple of 2134 and 2138

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 2138 the smallest integer that is 2281246 that is divisible by both numbers.

Least Common Multiple (LCM) of 2134 and 2138 is 2281246.

LCM(2134,2138) = 2281246

LCM of 2134 and 2138

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

LCM of:
and

Least Common Multiple of 2134 and 2138

LCM of 2134 and 2138 is 2281246

Least common multiple can be found by multiplying the highest exponent prime factors of 2134 and 2138. First we will calculate the prime factors of 2134 and 2138.

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 2138


2 2138
1069 1069
1

Prime factors of 2138 are 2,1069. Prime factorization of 2138 in exponential form is:

2138 = 21×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 2134 and 2138.

LCM(2134,2138) = 21×111×971×10691
LCM(2134,2138) = 2281246

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 2138

List of positive integer factors of 2138 that divides 2138 without a remainder.

1, 2, 1069, 2138

Least Common Multiple of 2134 and 2138 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 2138, than apply into the LCM equation.

GCF(2134,2138) = 2
LCM(2134,2138) = ( 2134 × 2138) / 2
LCM(2134,2138) = 4562492 / 2
LCM(2134,2138) = 2281246

Properties of LCM 2134 and 2138

(i) The LCM of 2138 and 2134 is associative

LCM of 2134 and 2138 = LCM of 2138 and 2134

Related Least Common Multiples of 2134

Related Least Common Multiples of 2138

Frequently Asked Questions on LCM of 2134 and 2138

1. What is the LCM of 2134 and 2138?

Answer: LCM of 2134 and 2138 is 2281246.

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 2138?

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

4. How to Find the LCM of 2134 and 2138?

Answer:

Least Common Multiple of 2134 and 2138 = 2281246

Step 1: Find the prime factorization of 2134

2134 = 2 x 11 x 97

Step 2: Find the prime factorization of 2138

2138 = 2 x 1069

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

LCM = 2281246 = 2 x 11 x 97 x 1069

Step 4: Therefore, the least common multiple of 2134 and 2138 is 2281246.