Least Common Multiple of 146376 and 146383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146376 and 146383 the smallest integer that is 21426958008 that is divisible by both numbers.

Least Common Multiple (LCM) of 146376 and 146383 is 21426958008.

LCM(146376,146383) = 21426958008

LCM of 146376 and 146383

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

LCM of:
and

Least Common Multiple of 146376 and 146383

LCM of 146376 and 146383 is 21426958008

Least common multiple can be found by multiplying the highest exponent prime factors of 146376 and 146383. First we will calculate the prime factors of 146376 and 146383.

Prime Factorization of 146376


2 146376
2 73188
2 36594
3 18297
3 6099
19 2033
107 107
1

Prime factors of 146376 are 2, 3, 19,107. Prime factorization of 146376 in exponential form is:

146376 = 23×32×191×1071

Prime Factorization of 146383


146383 146383
1

Prime factors of 146383 are 146383. Prime factorization of 146383 in exponential form is:

146383 = 1463831

Now multiplying the highest exponent prime factors to calculate the LCM of 146376 and 146383.

LCM(146376,146383) = 23×32×191×1071×1463831
LCM(146376,146383) = 21426958008

Factors of 146376

List of positive integer factors of 146376 that divides 146376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 107, 114, 152, 171, 214, 228, 321, 342, 428, 456, 642, 684, 856, 963, 1284, 1368, 1926, 2033, 2568, 3852, 4066, 6099, 7704, 8132, 12198, 16264, 18297, 24396, 36594, 48792, 73188, 146376

Factors of 146383

List of positive integer factors of 146383 that divides 146383 without a remainder.

1, 146383

Least Common Multiple of 146376 and 146383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146376 and 146383, than apply into the LCM equation.

GCF(146376,146383) = 1
LCM(146376,146383) = ( 146376 × 146383) / 1
LCM(146376,146383) = 21426958008 / 1
LCM(146376,146383) = 21426958008

Properties of LCM 146376 and 146383

(i) The LCM of 146383 and 146376 is associative

LCM of 146376 and 146383 = LCM of 146383 and 146376

Related Least Common Multiples of 146376

Related Least Common Multiples of 146383

Frequently Asked Questions on LCM of 146376 and 146383

1. What is the LCM of 146376 and 146383?

Answer: LCM of 146376 and 146383 is 21426958008.

2. What are the Factors of 146376?

Answer: Factors of 146376 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 107, 114, 152, 171, 214, 228, 321, 342, 428, 456, 642, 684, 856, 963, 1284, 1368, 1926, 2033, 2568, 3852, 4066, 6099, 7704, 8132, 12198, 16264, 18297, 24396, 36594, 48792, 73188, 146376. There are 48 integers that are factors of 146376. The greatest factor of 146376 is 146376.

3. What are the Factors of 146383?

Answer: Factors of 146383 are 1, 146383. There are 2 integers that are factors of 146383. The greatest factor of 146383 is 146383.

4. How to Find the LCM of 146376 and 146383?

Answer:

Least Common Multiple of 146376 and 146383 = 21426958008

Step 1: Find the prime factorization of 146376

146376 = 2 x 2 x 2 x 3 x 3 x 19 x 107

Step 2: Find the prime factorization of 146383

146383 = 146383

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

LCM = 21426958008 = 2 x 2 x 2 x 3 x 3 x 19 x 107 x 146383

Step 4: Therefore, the least common multiple of 146376 and 146383 is 21426958008.