Least Common Multiple of 146359 and 146366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146359 and 146366 the smallest integer that is 21421981394 that is divisible by both numbers.

Least Common Multiple (LCM) of 146359 and 146366 is 21421981394.

LCM(146359,146366) = 21421981394

LCM of 146359 and 146366

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

LCM of:
and

Least Common Multiple of 146359 and 146366

LCM of 146359 and 146366 is 21421981394

Least common multiple can be found by multiplying the highest exponent prime factors of 146359 and 146366. First we will calculate the prime factors of 146359 and 146366.

Prime Factorization of 146359


146359 146359
1

Prime factors of 146359 are 146359. Prime factorization of 146359 in exponential form is:

146359 = 1463591

Prime Factorization of 146366


2 146366
11 73183
6653 6653
1

Prime factors of 146366 are 2, 11,6653. Prime factorization of 146366 in exponential form is:

146366 = 21×111×66531

Now multiplying the highest exponent prime factors to calculate the LCM of 146359 and 146366.

LCM(146359,146366) = 21×111×66531×1463591
LCM(146359,146366) = 21421981394

Factors of 146359

List of positive integer factors of 146359 that divides 146359 without a remainder.

1, 146359

Factors of 146366

List of positive integer factors of 146366 that divides 146366 without a remainder.

1, 2, 11, 22, 6653, 13306, 73183, 146366

Least Common Multiple of 146359 and 146366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146359 and 146366, than apply into the LCM equation.

GCF(146359,146366) = 1
LCM(146359,146366) = ( 146359 × 146366) / 1
LCM(146359,146366) = 21421981394 / 1
LCM(146359,146366) = 21421981394

Properties of LCM 146359 and 146366

(i) The LCM of 146366 and 146359 is associative

LCM of 146359 and 146366 = LCM of 146366 and 146359

Related Least Common Multiples of 146359

Related Least Common Multiples of 146366

Frequently Asked Questions on LCM of 146359 and 146366

1. What is the LCM of 146359 and 146366?

Answer: LCM of 146359 and 146366 is 21421981394.

2. What are the Factors of 146359?

Answer: Factors of 146359 are 1, 146359. There are 2 integers that are factors of 146359. The greatest factor of 146359 is 146359.

3. What are the Factors of 146366?

Answer: Factors of 146366 are 1, 2, 11, 22, 6653, 13306, 73183, 146366. There are 8 integers that are factors of 146366. The greatest factor of 146366 is 146366.

4. How to Find the LCM of 146359 and 146366?

Answer:

Least Common Multiple of 146359 and 146366 = 21421981394

Step 1: Find the prime factorization of 146359

146359 = 146359

Step 2: Find the prime factorization of 146366

146366 = 2 x 11 x 6653

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

LCM = 21421981394 = 2 x 11 x 6653 x 146359

Step 4: Therefore, the least common multiple of 146359 and 146366 is 21421981394.