Least Common Multiple of 146352 and 146360

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 146360 the smallest integer that is 2677509840 that is divisible by both numbers.

Least Common Multiple (LCM) of 146352 and 146360 is 2677509840.

LCM(146352,146360) = 2677509840

LCM of 146352 and 146360

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

LCM of:
and

Least Common Multiple of 146352 and 146360

LCM of 146352 and 146360 is 2677509840

Least common multiple can be found by multiplying the highest exponent prime factors of 146352 and 146360. First we will calculate the prime factors of 146352 and 146360.

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 146360


2 146360
2 73180
2 36590
5 18295
3659 3659
1

Prime factors of 146360 are 2, 5,3659. Prime factorization of 146360 in exponential form is:

146360 = 23×51×36591

Now multiplying the highest exponent prime factors to calculate the LCM of 146352 and 146360.

LCM(146352,146360) = 24×31×51×30491×36591
LCM(146352,146360) = 2677509840

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 146360

List of positive integer factors of 146360 that divides 146360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 3659, 7318, 14636, 18295, 29272, 36590, 73180, 146360

Least Common Multiple of 146352 and 146360 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 146360, than apply into the LCM equation.

GCF(146352,146360) = 8
LCM(146352,146360) = ( 146352 × 146360) / 8
LCM(146352,146360) = 21420078720 / 8
LCM(146352,146360) = 2677509840

Properties of LCM 146352 and 146360

(i) The LCM of 146360 and 146352 is associative

LCM of 146352 and 146360 = LCM of 146360 and 146352

Related Least Common Multiples of 146352

Related Least Common Multiples of 146360

Frequently Asked Questions on LCM of 146352 and 146360

1. What is the LCM of 146352 and 146360?

Answer: LCM of 146352 and 146360 is 2677509840.

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 146360?

Answer: Factors of 146360 are 1, 2, 4, 5, 8, 10, 20, 40, 3659, 7318, 14636, 18295, 29272, 36590, 73180, 146360. There are 16 integers that are factors of 146360. The greatest factor of 146360 is 146360.

4. How to Find the LCM of 146352 and 146360?

Answer:

Least Common Multiple of 146352 and 146360 = 2677509840

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 146360

146360 = 2 x 2 x 2 x 5 x 3659

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

LCM = 2677509840 = 2 x 2 x 2 x 2 x 3 x 5 x 3049 x 3659

Step 4: Therefore, the least common multiple of 146352 and 146360 is 2677509840.