Least Common Multiple of 10121 and 10126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10121 and 10126 the smallest integer that is 102485246 that is divisible by both numbers.

Least Common Multiple (LCM) of 10121 and 10126 is 102485246.

LCM(10121,10126) = 102485246

LCM of 10121 and 10126

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

LCM of:
and

Least Common Multiple of 10121 and 10126

LCM of 10121 and 10126 is 102485246

Least common multiple can be found by multiplying the highest exponent prime factors of 10121 and 10126. First we will calculate the prime factors of 10121 and 10126.

Prime Factorization of 10121


29 10121
349 349
1

Prime factors of 10121 are 29,349. Prime factorization of 10121 in exponential form is:

10121 = 291×3491

Prime Factorization of 10126


2 10126
61 5063
83 83
1

Prime factors of 10126 are 2, 61,83. Prime factorization of 10126 in exponential form is:

10126 = 21×611×831

Now multiplying the highest exponent prime factors to calculate the LCM of 10121 and 10126.

LCM(10121,10126) = 21×291×611×831×3491
LCM(10121,10126) = 102485246

Factors of 10121

List of positive integer factors of 10121 that divides 10121 without a remainder.

1, 29, 349, 10121

Factors of 10126

List of positive integer factors of 10126 that divides 10126 without a remainder.

1, 2, 61, 83, 122, 166, 5063, 10126

Least Common Multiple of 10121 and 10126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10121 and 10126, than apply into the LCM equation.

GCF(10121,10126) = 1
LCM(10121,10126) = ( 10121 × 10126) / 1
LCM(10121,10126) = 102485246 / 1
LCM(10121,10126) = 102485246

Properties of LCM 10121 and 10126

(i) The LCM of 10126 and 10121 is associative

LCM of 10121 and 10126 = LCM of 10126 and 10121

Related Least Common Multiples of 10121

Related Least Common Multiples of 10126

Frequently Asked Questions on LCM of 10121 and 10126

1. What is the LCM of 10121 and 10126?

Answer: LCM of 10121 and 10126 is 102485246.

2. What are the Factors of 10121?

Answer: Factors of 10121 are 1, 29, 349, 10121. There are 4 integers that are factors of 10121. The greatest factor of 10121 is 10121.

3. What are the Factors of 10126?

Answer: Factors of 10126 are 1, 2, 61, 83, 122, 166, 5063, 10126. There are 8 integers that are factors of 10126. The greatest factor of 10126 is 10126.

4. How to Find the LCM of 10121 and 10126?

Answer:

Least Common Multiple of 10121 and 10126 = 102485246

Step 1: Find the prime factorization of 10121

10121 = 29 x 349

Step 2: Find the prime factorization of 10126

10126 = 2 x 61 x 83

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

LCM = 102485246 = 2 x 29 x 61 x 83 x 349

Step 4: Therefore, the least common multiple of 10121 and 10126 is 102485246.