Least Common Multiple of 146352 and 146359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146352 and 146359 the smallest integer that is 21419932368 that is divisible by both numbers.

Least Common Multiple (LCM) of 146352 and 146359 is 21419932368.

LCM(146352,146359) = 21419932368

LCM of 146352 and 146359

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

LCM of:
and

Least Common Multiple of 146352 and 146359

LCM of 146352 and 146359 is 21419932368

Least common multiple can be found by multiplying the highest exponent prime factors of 146352 and 146359. First we will calculate the prime factors of 146352 and 146359.

Prime Factorization of 146352


2 146352
2 73176
2 36588
2 18294
3 9147
3049 3049
1

Prime factors of 146352 are 2, 3,3049. Prime factorization of 146352 in exponential form is:

146352 = 24×31×30491

Prime Factorization of 146359


146359 146359
1

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

146359 = 1463591

Now multiplying the highest exponent prime factors to calculate the LCM of 146352 and 146359.

LCM(146352,146359) = 24×31×30491×1463591
LCM(146352,146359) = 21419932368

Factors of 146352

List of positive integer factors of 146352 that divides 146352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 3049, 6098, 9147, 12196, 18294, 24392, 36588, 48784, 73176, 146352

Factors of 146359

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

1, 146359

Least Common Multiple of 146352 and 146359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146352 and 146359, than apply into the LCM equation.

GCF(146352,146359) = 1
LCM(146352,146359) = ( 146352 × 146359) / 1
LCM(146352,146359) = 21419932368 / 1
LCM(146352,146359) = 21419932368

Properties of LCM 146352 and 146359

(i) The LCM of 146359 and 146352 is associative

LCM of 146352 and 146359 = LCM of 146359 and 146352

Related Least Common Multiples of 146352

Related Least Common Multiples of 146359

Frequently Asked Questions on LCM of 146352 and 146359

1. What is the LCM of 146352 and 146359?

Answer: LCM of 146352 and 146359 is 21419932368.

2. What are the Factors of 146352?

Answer: Factors of 146352 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 3049, 6098, 9147, 12196, 18294, 24392, 36588, 48784, 73176, 146352. There are 20 integers that are factors of 146352. The greatest factor of 146352 is 146352.

3. 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.

4. How to Find the LCM of 146352 and 146359?

Answer:

Least Common Multiple of 146352 and 146359 = 21419932368

Step 1: Find the prime factorization of 146352

146352 = 2 x 2 x 2 x 2 x 3 x 3049

Step 2: Find the prime factorization of 146359

146359 = 146359

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

LCM = 21419932368 = 2 x 2 x 2 x 2 x 3 x 3049 x 146359

Step 4: Therefore, the least common multiple of 146352 and 146359 is 21419932368.