Least Common Multiple of 146358 and 146365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146358 and 146365 the smallest integer that is 21421688670 that is divisible by both numbers.

Least Common Multiple (LCM) of 146358 and 146365 is 21421688670.

LCM(146358,146365) = 21421688670

LCM of 146358 and 146365

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

LCM of:
and

Least Common Multiple of 146358 and 146365

LCM of 146358 and 146365 is 21421688670

Least common multiple can be found by multiplying the highest exponent prime factors of 146358 and 146365. First we will calculate the prime factors of 146358 and 146365.

Prime Factorization of 146358


2 146358
3 73179
3 24393
47 8131
173 173
1

Prime factors of 146358 are 2, 3, 47,173. Prime factorization of 146358 in exponential form is:

146358 = 21×32×471×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 146358 and 146365.

LCM(146358,146365) = 21×32×51×471×731×1731×4011
LCM(146358,146365) = 21421688670

Factors of 146358

List of positive integer factors of 146358 that divides 146358 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 173, 282, 346, 423, 519, 846, 1038, 1557, 3114, 8131, 16262, 24393, 48786, 73179, 146358

Factors of 146365

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

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

Least Common Multiple of 146358 and 146365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146358 and 146365, than apply into the LCM equation.

GCF(146358,146365) = 1
LCM(146358,146365) = ( 146358 × 146365) / 1
LCM(146358,146365) = 21421688670 / 1
LCM(146358,146365) = 21421688670

Properties of LCM 146358 and 146365

(i) The LCM of 146365 and 146358 is associative

LCM of 146358 and 146365 = LCM of 146365 and 146358

Related Least Common Multiples of 146358

Related Least Common Multiples of 146365

Frequently Asked Questions on LCM of 146358 and 146365

1. What is the LCM of 146358 and 146365?

Answer: LCM of 146358 and 146365 is 21421688670.

2. What are the Factors of 146358?

Answer: Factors of 146358 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 173, 282, 346, 423, 519, 846, 1038, 1557, 3114, 8131, 16262, 24393, 48786, 73179, 146358. There are 24 integers that are factors of 146358. The greatest factor of 146358 is 146358.

3. 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.

4. How to Find the LCM of 146358 and 146365?

Answer:

Least Common Multiple of 146358 and 146365 = 21421688670

Step 1: Find the prime factorization of 146358

146358 = 2 x 3 x 3 x 47 x 173

Step 2: Find the prime factorization of 146365

146365 = 5 x 73 x 401

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

LCM = 21421688670 = 2 x 3 x 3 x 5 x 47 x 73 x 173 x 401

Step 4: Therefore, the least common multiple of 146358 and 146365 is 21421688670.