Least Common Multiple of 146348 and 146350

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 146350 the smallest integer that is 10709014900 that is divisible by both numbers.

Least Common Multiple (LCM) of 146348 and 146350 is 10709014900.

LCM(146348,146350) = 10709014900

LCM of 146348 and 146350

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

LCM of:
and

Least Common Multiple of 146348 and 146350

LCM of 146348 and 146350 is 10709014900

Least common multiple can be found by multiplying the highest exponent prime factors of 146348 and 146350. First we will calculate the prime factors of 146348 and 146350.

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 146350


2 146350
5 73175
5 14635
2927 2927
1

Prime factors of 146350 are 2, 5,2927. Prime factorization of 146350 in exponential form is:

146350 = 21×52×29271

Now multiplying the highest exponent prime factors to calculate the LCM of 146348 and 146350.

LCM(146348,146350) = 22×52×29271×365871
LCM(146348,146350) = 10709014900

Factors of 146348

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

1, 2, 4, 36587, 73174, 146348

Factors of 146350

List of positive integer factors of 146350 that divides 146350 without a remainder.

1, 2, 5, 10, 25, 50, 2927, 5854, 14635, 29270, 73175, 146350

Least Common Multiple of 146348 and 146350 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 146350, than apply into the LCM equation.

GCF(146348,146350) = 2
LCM(146348,146350) = ( 146348 × 146350) / 2
LCM(146348,146350) = 21418029800 / 2
LCM(146348,146350) = 10709014900

Properties of LCM 146348 and 146350

(i) The LCM of 146350 and 146348 is associative

LCM of 146348 and 146350 = LCM of 146350 and 146348

Related Least Common Multiples of 146348

Related Least Common Multiples of 146350

Frequently Asked Questions on LCM of 146348 and 146350

1. What is the LCM of 146348 and 146350?

Answer: LCM of 146348 and 146350 is 10709014900.

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 146350?

Answer: Factors of 146350 are 1, 2, 5, 10, 25, 50, 2927, 5854, 14635, 29270, 73175, 146350. There are 12 integers that are factors of 146350. The greatest factor of 146350 is 146350.

4. How to Find the LCM of 146348 and 146350?

Answer:

Least Common Multiple of 146348 and 146350 = 10709014900

Step 1: Find the prime factorization of 146348

146348 = 2 x 2 x 36587

Step 2: Find the prime factorization of 146350

146350 = 2 x 5 x 5 x 2927

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

LCM = 10709014900 = 2 x 2 x 5 x 5 x 2927 x 36587

Step 4: Therefore, the least common multiple of 146348 and 146350 is 10709014900.