Least Common Multiple of 146368 and 146372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146368 and 146372 the smallest integer that is 5356044224 that is divisible by both numbers.

Least Common Multiple (LCM) of 146368 and 146372 is 5356044224.

LCM(146368,146372) = 5356044224

LCM of 146368 and 146372

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

LCM of:
and

Least Common Multiple of 146368 and 146372

LCM of 146368 and 146372 is 5356044224

Least common multiple can be found by multiplying the highest exponent prime factors of 146368 and 146372. First we will calculate the prime factors of 146368 and 146372.

Prime Factorization of 146368


2 146368
2 73184
2 36592
2 18296
2 9148
2 4574
2287 2287
1

Prime factors of 146368 are 2,2287. Prime factorization of 146368 in exponential form is:

146368 = 26×22871

Prime Factorization of 146372


2 146372
2 73186
23 36593
37 1591
43 43
1

Prime factors of 146372 are 2, 23, 37,43. Prime factorization of 146372 in exponential form is:

146372 = 22×231×371×431

Now multiplying the highest exponent prime factors to calculate the LCM of 146368 and 146372.

LCM(146368,146372) = 26×231×371×431×22871
LCM(146368,146372) = 5356044224

Factors of 146368

List of positive integer factors of 146368 that divides 146368 without a remainder.

1, 2, 4, 8, 16, 32, 64, 2287, 4574, 9148, 18296, 36592, 73184, 146368

Factors of 146372

List of positive integer factors of 146372 that divides 146372 without a remainder.

1, 2, 4, 23, 37, 43, 46, 74, 86, 92, 148, 172, 851, 989, 1591, 1702, 1978, 3182, 3404, 3956, 6364, 36593, 73186, 146372

Least Common Multiple of 146368 and 146372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146368 and 146372, than apply into the LCM equation.

GCF(146368,146372) = 4
LCM(146368,146372) = ( 146368 × 146372) / 4
LCM(146368,146372) = 21424176896 / 4
LCM(146368,146372) = 5356044224

Properties of LCM 146368 and 146372

(i) The LCM of 146372 and 146368 is associative

LCM of 146368 and 146372 = LCM of 146372 and 146368

Related Least Common Multiples of 146368

Related Least Common Multiples of 146372

Frequently Asked Questions on LCM of 146368 and 146372

1. What is the LCM of 146368 and 146372?

Answer: LCM of 146368 and 146372 is 5356044224.

2. What are the Factors of 146368?

Answer: Factors of 146368 are 1, 2, 4, 8, 16, 32, 64, 2287, 4574, 9148, 18296, 36592, 73184, 146368. There are 14 integers that are factors of 146368. The greatest factor of 146368 is 146368.

3. What are the Factors of 146372?

Answer: Factors of 146372 are 1, 2, 4, 23, 37, 43, 46, 74, 86, 92, 148, 172, 851, 989, 1591, 1702, 1978, 3182, 3404, 3956, 6364, 36593, 73186, 146372. There are 24 integers that are factors of 146372. The greatest factor of 146372 is 146372.

4. How to Find the LCM of 146368 and 146372?

Answer:

Least Common Multiple of 146368 and 146372 = 5356044224

Step 1: Find the prime factorization of 146368

146368 = 2 x 2 x 2 x 2 x 2 x 2 x 2287

Step 2: Find the prime factorization of 146372

146372 = 2 x 2 x 23 x 37 x 43

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

LCM = 5356044224 = 2 x 2 x 2 x 2 x 2 x 2 x 23 x 37 x 43 x 2287

Step 4: Therefore, the least common multiple of 146368 and 146372 is 5356044224.