Least Common Multiple of 82346 and 82352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 82346 and 82352 the smallest integer that is 3390678896 that is divisible by both numbers.

Least Common Multiple (LCM) of 82346 and 82352 is 3390678896.

LCM(82346,82352) = 3390678896

LCM of 82346 and 82352

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

LCM of:
and

Least Common Multiple of 82346 and 82352

LCM of 82346 and 82352 is 3390678896

Least common multiple can be found by multiplying the highest exponent prime factors of 82346 and 82352. First we will calculate the prime factors of 82346 and 82352.

Prime Factorization of 82346


2 82346
11 41173
19 3743
197 197
1

Prime factors of 82346 are 2, 11, 19,197. Prime factorization of 82346 in exponential form is:

82346 = 21×111×191×1971

Prime Factorization of 82352


2 82352
2 41176
2 20588
2 10294
5147 5147
1

Prime factors of 82352 are 2,5147. Prime factorization of 82352 in exponential form is:

82352 = 24×51471

Now multiplying the highest exponent prime factors to calculate the LCM of 82346 and 82352.

LCM(82346,82352) = 24×111×191×1971×51471
LCM(82346,82352) = 3390678896

Factors of 82346

List of positive integer factors of 82346 that divides 82346 without a remainder.

1, 2, 11, 19, 22, 38, 197, 209, 394, 418, 2167, 3743, 4334, 7486, 41173, 82346

Factors of 82352

List of positive integer factors of 82352 that divides 82352 without a remainder.

1, 2, 4, 8, 16, 5147, 10294, 20588, 41176, 82352

Least Common Multiple of 82346 and 82352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82346 and 82352, than apply into the LCM equation.

GCF(82346,82352) = 2
LCM(82346,82352) = ( 82346 × 82352) / 2
LCM(82346,82352) = 6781357792 / 2
LCM(82346,82352) = 3390678896

Properties of LCM 82346 and 82352

(i) The LCM of 82352 and 82346 is associative

LCM of 82346 and 82352 = LCM of 82352 and 82346

Frequently Asked Questions on LCM of 82346 and 82352

1. What is the LCM of 82346 and 82352?

Answer: LCM of 82346 and 82352 is 3390678896.

2. What are the Factors of 82346?

Answer: Factors of 82346 are 1, 2, 11, 19, 22, 38, 197, 209, 394, 418, 2167, 3743, 4334, 7486, 41173, 82346. There are 16 integers that are factors of 82346. The greatest factor of 82346 is 82346.

3. What are the Factors of 82352?

Answer: Factors of 82352 are 1, 2, 4, 8, 16, 5147, 10294, 20588, 41176, 82352. There are 10 integers that are factors of 82352. The greatest factor of 82352 is 82352.

4. How to Find the LCM of 82346 and 82352?

Answer:

Least Common Multiple of 82346 and 82352 = 3390678896

Step 1: Find the prime factorization of 82346

82346 = 2 x 11 x 19 x 197

Step 2: Find the prime factorization of 82352

82352 = 2 x 2 x 2 x 2 x 5147

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

LCM = 3390678896 = 2 x 2 x 2 x 2 x 11 x 19 x 197 x 5147

Step 4: Therefore, the least common multiple of 82346 and 82352 is 3390678896.