Least Common Multiple of 146365 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 146365 and 146372 the smallest integer that is 21423737780 that is divisible by both numbers.

Least Common Multiple (LCM) of 146365 and 146372 is 21423737780.

LCM(146365,146372) = 21423737780

LCM of 146365 and 146372

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

LCM of:
and

Least Common Multiple of 146365 and 146372

LCM of 146365 and 146372 is 21423737780

Least common multiple can be found by multiplying the highest exponent prime factors of 146365 and 146372. First we will calculate the prime factors of 146365 and 146372.

Prime Factorization of 146365


5 146365
73 29273
401 401
1

Prime factors of 146365 are 5, 73,401. Prime factorization of 146365 in exponential form is:

146365 = 51×731×4011

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 146365 and 146372.

LCM(146365,146372) = 22×51×231×371×431×731×4011
LCM(146365,146372) = 21423737780

Factors of 146365

List of positive integer factors of 146365 that divides 146365 without a remainder.

1, 5, 73, 365, 401, 2005, 29273, 146365

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 146365 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 146365 and 146372, than apply into the LCM equation.

GCF(146365,146372) = 1
LCM(146365,146372) = ( 146365 × 146372) / 1
LCM(146365,146372) = 21423737780 / 1
LCM(146365,146372) = 21423737780

Properties of LCM 146365 and 146372

(i) The LCM of 146372 and 146365 is associative

LCM of 146365 and 146372 = LCM of 146372 and 146365

Related Least Common Multiples of 146365

Related Least Common Multiples of 146372

Frequently Asked Questions on LCM of 146365 and 146372

1. What is the LCM of 146365 and 146372?

Answer: LCM of 146365 and 146372 is 21423737780.

2. What are the Factors of 146365?

Answer: Factors of 146365 are 1, 5, 73, 365, 401, 2005, 29273, 146365. There are 8 integers that are factors of 146365. The greatest factor of 146365 is 146365.

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 146365 and 146372?

Answer:

Least Common Multiple of 146365 and 146372 = 21423737780

Step 1: Find the prime factorization of 146365

146365 = 5 x 73 x 401

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 = 21423737780 = 2 x 2 x 5 x 23 x 37 x 43 x 73 x 401

Step 4: Therefore, the least common multiple of 146365 and 146372 is 21423737780.