Least Common Multiple of 146348 and 146354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146348 and 146354 the smallest integer that is 10709307596 that is divisible by both numbers.

Least Common Multiple (LCM) of 146348 and 146354 is 10709307596.

LCM(146348,146354) = 10709307596

LCM of 146348 and 146354

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

LCM of:
and

Least Common Multiple of 146348 and 146354

LCM of 146348 and 146354 is 10709307596

Least common multiple can be found by multiplying the highest exponent prime factors of 146348 and 146354. First we will calculate the prime factors of 146348 and 146354.

Prime Factorization of 146348


2 146348
2 73174
36587 36587
1

Prime factors of 146348 are 2,36587. Prime factorization of 146348 in exponential form is:

146348 = 22×365871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 146348 and 146354.

LCM(146348,146354) = 22×132×4331×365871
LCM(146348,146354) = 10709307596

Factors of 146348

List of positive integer factors of 146348 that divides 146348 without a remainder.

1, 2, 4, 36587, 73174, 146348

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

Least Common Multiple of 146348 and 146354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146348 and 146354, than apply into the LCM equation.

GCF(146348,146354) = 2
LCM(146348,146354) = ( 146348 × 146354) / 2
LCM(146348,146354) = 21418615192 / 2
LCM(146348,146354) = 10709307596

Properties of LCM 146348 and 146354

(i) The LCM of 146354 and 146348 is associative

LCM of 146348 and 146354 = LCM of 146354 and 146348

Related Least Common Multiples of 146348

Related Least Common Multiples of 146354

Frequently Asked Questions on LCM of 146348 and 146354

1. What is the LCM of 146348 and 146354?

Answer: LCM of 146348 and 146354 is 10709307596.

2. What are the Factors of 146348?

Answer: Factors of 146348 are 1, 2, 4, 36587, 73174, 146348. There are 6 integers that are factors of 146348. The greatest factor of 146348 is 146348.

3. 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.

4. How to Find the LCM of 146348 and 146354?

Answer:

Least Common Multiple of 146348 and 146354 = 10709307596

Step 1: Find the prime factorization of 146348

146348 = 2 x 2 x 36587

Step 2: Find the prime factorization of 146354

146354 = 2 x 13 x 13 x 433

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

LCM = 10709307596 = 2 x 2 x 13 x 13 x 433 x 36587

Step 4: Therefore, the least common multiple of 146348 and 146354 is 10709307596.