Least Common Multiple of 10118 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 10118 and 10126 the smallest integer that is 51227434 that is divisible by both numbers.

Least Common Multiple (LCM) of 10118 and 10126 is 51227434.

LCM(10118,10126) = 51227434

LCM of 10118 and 10126

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

LCM of:
and

Least Common Multiple of 10118 and 10126

LCM of 10118 and 10126 is 51227434

Least common multiple can be found by multiplying the highest exponent prime factors of 10118 and 10126. First we will calculate the prime factors of 10118 and 10126.

Prime Factorization of 10118


2 10118
5059 5059
1

Prime factors of 10118 are 2,5059. Prime factorization of 10118 in exponential form is:

10118 = 21×50591

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 10118 and 10126.

LCM(10118,10126) = 21×611×831×50591
LCM(10118,10126) = 51227434

Factors of 10118

List of positive integer factors of 10118 that divides 10118 without a remainder.

1, 2, 5059, 10118

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 10118 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 10118 and 10126, than apply into the LCM equation.

GCF(10118,10126) = 2
LCM(10118,10126) = ( 10118 × 10126) / 2
LCM(10118,10126) = 102454868 / 2
LCM(10118,10126) = 51227434

Properties of LCM 10118 and 10126

(i) The LCM of 10126 and 10118 is associative

LCM of 10118 and 10126 = LCM of 10126 and 10118

Related Least Common Multiples of 10118

Related Least Common Multiples of 10126

Frequently Asked Questions on LCM of 10118 and 10126

1. What is the LCM of 10118 and 10126?

Answer: LCM of 10118 and 10126 is 51227434.

2. What are the Factors of 10118?

Answer: Factors of 10118 are 1, 2, 5059, 10118. There are 4 integers that are factors of 10118. The greatest factor of 10118 is 10118.

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 10118 and 10126?

Answer:

Least Common Multiple of 10118 and 10126 = 51227434

Step 1: Find the prime factorization of 10118

10118 = 2 x 5059

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 = 51227434 = 2 x 61 x 83 x 5059

Step 4: Therefore, the least common multiple of 10118 and 10126 is 51227434.