Least Common Multiple of 146366 and 146370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146366 and 146370 the smallest integer that is 10711795710 that is divisible by both numbers.

Least Common Multiple (LCM) of 146366 and 146370 is 10711795710.

LCM(146366,146370) = 10711795710

LCM of 146366 and 146370

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

LCM of:
and

Least Common Multiple of 146366 and 146370

LCM of 146366 and 146370 is 10711795710

Least common multiple can be found by multiplying the highest exponent prime factors of 146366 and 146370. First we will calculate the prime factors of 146366 and 146370.

Prime Factorization of 146366


2 146366
11 73183
6653 6653
1

Prime factors of 146366 are 2, 11,6653. Prime factorization of 146366 in exponential form is:

146366 = 21×111×66531

Prime Factorization of 146370


2 146370
3 73185
5 24395
7 4879
17 697
41 41
1

Prime factors of 146370 are 2, 3, 5, 7, 17,41. Prime factorization of 146370 in exponential form is:

146370 = 21×31×51×71×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 146366 and 146370.

LCM(146366,146370) = 21×31×51×71×111×171×411×66531
LCM(146366,146370) = 10711795710

Factors of 146366

List of positive integer factors of 146366 that divides 146366 without a remainder.

1, 2, 11, 22, 6653, 13306, 73183, 146366

Factors of 146370

List of positive integer factors of 146370 that divides 146370 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 41, 42, 51, 70, 82, 85, 102, 105, 119, 123, 170, 205, 210, 238, 246, 255, 287, 357, 410, 510, 574, 595, 615, 697, 714, 861, 1190, 1230, 1394, 1435, 1722, 1785, 2091, 2870, 3485, 3570, 4182, 4305, 4879, 6970, 8610, 9758, 10455, 14637, 20910, 24395, 29274, 48790, 73185, 146370

Least Common Multiple of 146366 and 146370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146366 and 146370, than apply into the LCM equation.

GCF(146366,146370) = 2
LCM(146366,146370) = ( 146366 × 146370) / 2
LCM(146366,146370) = 21423591420 / 2
LCM(146366,146370) = 10711795710

Properties of LCM 146366 and 146370

(i) The LCM of 146370 and 146366 is associative

LCM of 146366 and 146370 = LCM of 146370 and 146366

Related Least Common Multiples of 146366

Related Least Common Multiples of 146370

Frequently Asked Questions on LCM of 146366 and 146370

1. What is the LCM of 146366 and 146370?

Answer: LCM of 146366 and 146370 is 10711795710.

2. What are the Factors of 146366?

Answer: Factors of 146366 are 1, 2, 11, 22, 6653, 13306, 73183, 146366. There are 8 integers that are factors of 146366. The greatest factor of 146366 is 146366.

3. What are the Factors of 146370?

Answer: Factors of 146370 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 41, 42, 51, 70, 82, 85, 102, 105, 119, 123, 170, 205, 210, 238, 246, 255, 287, 357, 410, 510, 574, 595, 615, 697, 714, 861, 1190, 1230, 1394, 1435, 1722, 1785, 2091, 2870, 3485, 3570, 4182, 4305, 4879, 6970, 8610, 9758, 10455, 14637, 20910, 24395, 29274, 48790, 73185, 146370. There are 64 integers that are factors of 146370. The greatest factor of 146370 is 146370.

4. How to Find the LCM of 146366 and 146370?

Answer:

Least Common Multiple of 146366 and 146370 = 10711795710

Step 1: Find the prime factorization of 146366

146366 = 2 x 11 x 6653

Step 2: Find the prime factorization of 146370

146370 = 2 x 3 x 5 x 7 x 17 x 41

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

LCM = 10711795710 = 2 x 3 x 5 x 7 x 11 x 17 x 41 x 6653

Step 4: Therefore, the least common multiple of 146366 and 146370 is 10711795710.