Least Common Multiple of 307432 and 307439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307432 and 307439 the smallest integer that is 94516586648 that is divisible by both numbers.

Least Common Multiple (LCM) of 307432 and 307439 is 94516586648.

LCM(307432,307439) = 94516586648

LCM of 307432 and 307439

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

LCM of:
and

Least Common Multiple of 307432 and 307439

LCM of 307432 and 307439 is 94516586648

Least common multiple can be found by multiplying the highest exponent prime factors of 307432 and 307439. First we will calculate the prime factors of 307432 and 307439.

Prime Factorization of 307432


2 307432
2 153716
2 76858
83 38429
463 463
1

Prime factors of 307432 are 2, 83,463. Prime factorization of 307432 in exponential form is:

307432 = 23×831×4631

Prime Factorization of 307439


11 307439
19 27949
1471 1471
1

Prime factors of 307439 are 11, 19,1471. Prime factorization of 307439 in exponential form is:

307439 = 111×191×14711

Now multiplying the highest exponent prime factors to calculate the LCM of 307432 and 307439.

LCM(307432,307439) = 23×111×191×831×4631×14711
LCM(307432,307439) = 94516586648

Factors of 307432

List of positive integer factors of 307432 that divides 307432 without a remainder.

1, 2, 4, 8, 83, 166, 332, 463, 664, 926, 1852, 3704, 38429, 76858, 153716, 307432

Factors of 307439

List of positive integer factors of 307439 that divides 307439 without a remainder.

1, 11, 19, 209, 1471, 16181, 27949, 307439

Least Common Multiple of 307432 and 307439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307432 and 307439, than apply into the LCM equation.

GCF(307432,307439) = 1
LCM(307432,307439) = ( 307432 × 307439) / 1
LCM(307432,307439) = 94516586648 / 1
LCM(307432,307439) = 94516586648

Properties of LCM 307432 and 307439

(i) The LCM of 307439 and 307432 is associative

LCM of 307432 and 307439 = LCM of 307439 and 307432

Related Least Common Multiples of 307432

Related Least Common Multiples of 307439

Frequently Asked Questions on LCM of 307432 and 307439

1. What is the LCM of 307432 and 307439?

Answer: LCM of 307432 and 307439 is 94516586648.

2. What are the Factors of 307432?

Answer: Factors of 307432 are 1, 2, 4, 8, 83, 166, 332, 463, 664, 926, 1852, 3704, 38429, 76858, 153716, 307432. There are 16 integers that are factors of 307432. The greatest factor of 307432 is 307432.

3. What are the Factors of 307439?

Answer: Factors of 307439 are 1, 11, 19, 209, 1471, 16181, 27949, 307439. There are 8 integers that are factors of 307439. The greatest factor of 307439 is 307439.

4. How to Find the LCM of 307432 and 307439?

Answer:

Least Common Multiple of 307432 and 307439 = 94516586648

Step 1: Find the prime factorization of 307432

307432 = 2 x 2 x 2 x 83 x 463

Step 2: Find the prime factorization of 307439

307439 = 11 x 19 x 1471

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

LCM = 94516586648 = 2 x 2 x 2 x 11 x 19 x 83 x 463 x 1471

Step 4: Therefore, the least common multiple of 307432 and 307439 is 94516586648.