Least Common Multiple of 146348 and 146352

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 146352 the smallest integer that is 5354580624 that is divisible by both numbers.

Least Common Multiple (LCM) of 146348 and 146352 is 5354580624.

LCM(146348,146352) = 5354580624

LCM of 146348 and 146352

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

LCM of:
and

Least Common Multiple of 146348 and 146352

LCM of 146348 and 146352 is 5354580624

Least common multiple can be found by multiplying the highest exponent prime factors of 146348 and 146352. First we will calculate the prime factors of 146348 and 146352.

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 146352


2 146352
2 73176
2 36588
2 18294
3 9147
3049 3049
1

Prime factors of 146352 are 2, 3,3049. Prime factorization of 146352 in exponential form is:

146352 = 24×31×30491

Now multiplying the highest exponent prime factors to calculate the LCM of 146348 and 146352.

LCM(146348,146352) = 24×31×30491×365871
LCM(146348,146352) = 5354580624

Factors of 146348

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

1, 2, 4, 36587, 73174, 146348

Factors of 146352

List of positive integer factors of 146352 that divides 146352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 3049, 6098, 9147, 12196, 18294, 24392, 36588, 48784, 73176, 146352

Least Common Multiple of 146348 and 146352 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 146352, than apply into the LCM equation.

GCF(146348,146352) = 4
LCM(146348,146352) = ( 146348 × 146352) / 4
LCM(146348,146352) = 21418322496 / 4
LCM(146348,146352) = 5354580624

Properties of LCM 146348 and 146352

(i) The LCM of 146352 and 146348 is associative

LCM of 146348 and 146352 = LCM of 146352 and 146348

Related Least Common Multiples of 146348

Related Least Common Multiples of 146352

Frequently Asked Questions on LCM of 146348 and 146352

1. What is the LCM of 146348 and 146352?

Answer: LCM of 146348 and 146352 is 5354580624.

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 146352?

Answer: Factors of 146352 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 3049, 6098, 9147, 12196, 18294, 24392, 36588, 48784, 73176, 146352. There are 20 integers that are factors of 146352. The greatest factor of 146352 is 146352.

4. How to Find the LCM of 146348 and 146352?

Answer:

Least Common Multiple of 146348 and 146352 = 5354580624

Step 1: Find the prime factorization of 146348

146348 = 2 x 2 x 36587

Step 2: Find the prime factorization of 146352

146352 = 2 x 2 x 2 x 2 x 3 x 3049

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

LCM = 5354580624 = 2 x 2 x 2 x 2 x 3 x 3049 x 36587

Step 4: Therefore, the least common multiple of 146348 and 146352 is 5354580624.