Least Common Multiple of 146368 and 146373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146368 and 146373 the smallest integer that is 21424323264 that is divisible by both numbers.

Least Common Multiple (LCM) of 146368 and 146373 is 21424323264.

LCM(146368,146373) = 21424323264

LCM of 146368 and 146373

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

LCM of:
and

Least Common Multiple of 146368 and 146373

LCM of 146368 and 146373 is 21424323264

Least common multiple can be found by multiplying the highest exponent prime factors of 146368 and 146373. First we will calculate the prime factors of 146368 and 146373.

Prime Factorization of 146368


2 146368
2 73184
2 36592
2 18296
2 9148
2 4574
2287 2287
1

Prime factors of 146368 are 2,2287. Prime factorization of 146368 in exponential form is:

146368 = 26×22871

Prime Factorization of 146373


3 146373
97 48791
503 503
1

Prime factors of 146373 are 3, 97,503. Prime factorization of 146373 in exponential form is:

146373 = 31×971×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 146368 and 146373.

LCM(146368,146373) = 26×31×971×5031×22871
LCM(146368,146373) = 21424323264

Factors of 146368

List of positive integer factors of 146368 that divides 146368 without a remainder.

1, 2, 4, 8, 16, 32, 64, 2287, 4574, 9148, 18296, 36592, 73184, 146368

Factors of 146373

List of positive integer factors of 146373 that divides 146373 without a remainder.

1, 3, 97, 291, 503, 1509, 48791, 146373

Least Common Multiple of 146368 and 146373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146368 and 146373, than apply into the LCM equation.

GCF(146368,146373) = 1
LCM(146368,146373) = ( 146368 × 146373) / 1
LCM(146368,146373) = 21424323264 / 1
LCM(146368,146373) = 21424323264

Properties of LCM 146368 and 146373

(i) The LCM of 146373 and 146368 is associative

LCM of 146368 and 146373 = LCM of 146373 and 146368

Related Least Common Multiples of 146368

Related Least Common Multiples of 146373

Frequently Asked Questions on LCM of 146368 and 146373

1. What is the LCM of 146368 and 146373?

Answer: LCM of 146368 and 146373 is 21424323264.

2. What are the Factors of 146368?

Answer: Factors of 146368 are 1, 2, 4, 8, 16, 32, 64, 2287, 4574, 9148, 18296, 36592, 73184, 146368. There are 14 integers that are factors of 146368. The greatest factor of 146368 is 146368.

3. What are the Factors of 146373?

Answer: Factors of 146373 are 1, 3, 97, 291, 503, 1509, 48791, 146373. There are 8 integers that are factors of 146373. The greatest factor of 146373 is 146373.

4. How to Find the LCM of 146368 and 146373?

Answer:

Least Common Multiple of 146368 and 146373 = 21424323264

Step 1: Find the prime factorization of 146368

146368 = 2 x 2 x 2 x 2 x 2 x 2 x 2287

Step 2: Find the prime factorization of 146373

146373 = 3 x 97 x 503

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

LCM = 21424323264 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 97 x 503 x 2287

Step 4: Therefore, the least common multiple of 146368 and 146373 is 21424323264.