Least Common Multiple of 144374 and 144375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144374 and 144375 the smallest integer that is 20843996250 that is divisible by both numbers.

Least Common Multiple (LCM) of 144374 and 144375 is 20843996250.

LCM(144374,144375) = 20843996250

LCM of 144374 and 144375

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

LCM of:
and

Least Common Multiple of 144374 and 144375

LCM of 144374 and 144375 is 20843996250

Least common multiple can be found by multiplying the highest exponent prime factors of 144374 and 144375. First we will calculate the prime factors of 144374 and 144375.

Prime Factorization of 144374


2 144374
37 72187
1951 1951
1

Prime factors of 144374 are 2, 37,1951. Prime factorization of 144374 in exponential form is:

144374 = 21×371×19511

Prime Factorization of 144375


3 144375
5 48125
5 9625
5 1925
5 385
7 77
11 11
1

Prime factors of 144375 are 3, 5, 7,11. Prime factorization of 144375 in exponential form is:

144375 = 31×54×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 144374 and 144375.

LCM(144374,144375) = 21×31×54×71×111×371×19511
LCM(144374,144375) = 20843996250

Factors of 144374

List of positive integer factors of 144374 that divides 144374 without a remainder.

1, 2, 37, 74, 1951, 3902, 72187, 144374

Factors of 144375

List of positive integer factors of 144375 that divides 144375 without a remainder.

1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 125, 165, 175, 231, 275, 375, 385, 525, 625, 825, 875, 1155, 1375, 1875, 1925, 2625, 4125, 4375, 5775, 6875, 9625, 13125, 20625, 28875, 48125, 144375

Least Common Multiple of 144374 and 144375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144374 and 144375, than apply into the LCM equation.

GCF(144374,144375) = 1
LCM(144374,144375) = ( 144374 × 144375) / 1
LCM(144374,144375) = 20843996250 / 1
LCM(144374,144375) = 20843996250

Properties of LCM 144374 and 144375

(i) The LCM of 144375 and 144374 is associative

LCM of 144374 and 144375 = LCM of 144375 and 144374

Related Least Common Multiples of 144374

Related Least Common Multiples of 144375

Frequently Asked Questions on LCM of 144374 and 144375

1. What is the LCM of 144374 and 144375?

Answer: LCM of 144374 and 144375 is 20843996250.

2. What are the Factors of 144374?

Answer: Factors of 144374 are 1, 2, 37, 74, 1951, 3902, 72187, 144374. There are 8 integers that are factors of 144374. The greatest factor of 144374 is 144374.

3. What are the Factors of 144375?

Answer: Factors of 144375 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 125, 165, 175, 231, 275, 375, 385, 525, 625, 825, 875, 1155, 1375, 1875, 1925, 2625, 4125, 4375, 5775, 6875, 9625, 13125, 20625, 28875, 48125, 144375. There are 40 integers that are factors of 144375. The greatest factor of 144375 is 144375.

4. How to Find the LCM of 144374 and 144375?

Answer:

Least Common Multiple of 144374 and 144375 = 20843996250

Step 1: Find the prime factorization of 144374

144374 = 2 x 37 x 1951

Step 2: Find the prime factorization of 144375

144375 = 3 x 5 x 5 x 5 x 5 x 7 x 11

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

LCM = 20843996250 = 2 x 3 x 5 x 5 x 5 x 5 x 7 x 11 x 37 x 1951

Step 4: Therefore, the least common multiple of 144374 and 144375 is 20843996250.