Least Common Multiple of 146354 and 146358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146354 and 146358 the smallest integer that is 10710039366 that is divisible by both numbers.

Least Common Multiple (LCM) of 146354 and 146358 is 10710039366.

LCM(146354,146358) = 10710039366

LCM of 146354 and 146358

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

LCM of:
and

Least Common Multiple of 146354 and 146358

LCM of 146354 and 146358 is 10710039366

Least common multiple can be found by multiplying the highest exponent prime factors of 146354 and 146358. First we will calculate the prime factors of 146354 and 146358.

Prime Factorization of 146354


2 146354
13 73177
13 5629
433 433
1

Prime factors of 146354 are 2, 13,433. Prime factorization of 146354 in exponential form is:

146354 = 21×132×4331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 146354 and 146358.

LCM(146354,146358) = 21×32×132×471×1731×4331
LCM(146354,146358) = 10710039366

Factors of 146354

List of positive integer factors of 146354 that divides 146354 without a remainder.

1, 2, 13, 26, 169, 338, 433, 866, 5629, 11258, 73177, 146354

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

Least Common Multiple of 146354 and 146358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146354 and 146358, than apply into the LCM equation.

GCF(146354,146358) = 2
LCM(146354,146358) = ( 146354 × 146358) / 2
LCM(146354,146358) = 21420078732 / 2
LCM(146354,146358) = 10710039366

Properties of LCM 146354 and 146358

(i) The LCM of 146358 and 146354 is associative

LCM of 146354 and 146358 = LCM of 146358 and 146354

Related Least Common Multiples of 146354

Related Least Common Multiples of 146358

Frequently Asked Questions on LCM of 146354 and 146358

1. What is the LCM of 146354 and 146358?

Answer: LCM of 146354 and 146358 is 10710039366.

2. What are the Factors of 146354?

Answer: Factors of 146354 are 1, 2, 13, 26, 169, 338, 433, 866, 5629, 11258, 73177, 146354. There are 12 integers that are factors of 146354. The greatest factor of 146354 is 146354.

3. 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.

4. How to Find the LCM of 146354 and 146358?

Answer:

Least Common Multiple of 146354 and 146358 = 10710039366

Step 1: Find the prime factorization of 146354

146354 = 2 x 13 x 13 x 433

Step 2: Find the prime factorization of 146358

146358 = 2 x 3 x 3 x 47 x 173

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

LCM = 10710039366 = 2 x 3 x 3 x 13 x 13 x 47 x 173 x 433

Step 4: Therefore, the least common multiple of 146354 and 146358 is 10710039366.