Least Common Multiple of 10146 and 10154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10146 and 10154 the smallest integer that is 51511242 that is divisible by both numbers.

Least Common Multiple (LCM) of 10146 and 10154 is 51511242.

LCM(10146,10154) = 51511242

LCM of 10146 and 10154

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

LCM of:
and

Least Common Multiple of 10146 and 10154

LCM of 10146 and 10154 is 51511242

Least common multiple can be found by multiplying the highest exponent prime factors of 10146 and 10154. First we will calculate the prime factors of 10146 and 10154.

Prime Factorization of 10146


2 10146
3 5073
19 1691
89 89
1

Prime factors of 10146 are 2, 3, 19,89. Prime factorization of 10146 in exponential form is:

10146 = 21×31×191×891

Prime Factorization of 10154


2 10154
5077 5077
1

Prime factors of 10154 are 2,5077. Prime factorization of 10154 in exponential form is:

10154 = 21×50771

Now multiplying the highest exponent prime factors to calculate the LCM of 10146 and 10154.

LCM(10146,10154) = 21×31×191×891×50771
LCM(10146,10154) = 51511242

Factors of 10146

List of positive integer factors of 10146 that divides 10146 without a remainder.

1, 2, 3, 6, 19, 38, 57, 89, 114, 178, 267, 534, 1691, 3382, 5073, 10146

Factors of 10154

List of positive integer factors of 10154 that divides 10154 without a remainder.

1, 2, 5077, 10154

Least Common Multiple of 10146 and 10154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10146 and 10154, than apply into the LCM equation.

GCF(10146,10154) = 2
LCM(10146,10154) = ( 10146 × 10154) / 2
LCM(10146,10154) = 103022484 / 2
LCM(10146,10154) = 51511242

Properties of LCM 10146 and 10154

(i) The LCM of 10154 and 10146 is associative

LCM of 10146 and 10154 = LCM of 10154 and 10146

Related Least Common Multiples of 10146

Related Least Common Multiples of 10154

Frequently Asked Questions on LCM of 10146 and 10154

1. What is the LCM of 10146 and 10154?

Answer: LCM of 10146 and 10154 is 51511242.

2. What are the Factors of 10146?

Answer: Factors of 10146 are 1, 2, 3, 6, 19, 38, 57, 89, 114, 178, 267, 534, 1691, 3382, 5073, 10146. There are 16 integers that are factors of 10146. The greatest factor of 10146 is 10146.

3. What are the Factors of 10154?

Answer: Factors of 10154 are 1, 2, 5077, 10154. There are 4 integers that are factors of 10154. The greatest factor of 10154 is 10154.

4. How to Find the LCM of 10146 and 10154?

Answer:

Least Common Multiple of 10146 and 10154 = 51511242

Step 1: Find the prime factorization of 10146

10146 = 2 x 3 x 19 x 89

Step 2: Find the prime factorization of 10154

10154 = 2 x 5077

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

LCM = 51511242 = 2 x 3 x 19 x 89 x 5077

Step 4: Therefore, the least common multiple of 10146 and 10154 is 51511242.