Least Common Multiple of 308432 and 308435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308432 and 308435 the smallest integer that is 95131223920 that is divisible by both numbers.

Least Common Multiple (LCM) of 308432 and 308435 is 95131223920.

LCM(308432,308435) = 95131223920

LCM of 308432 and 308435

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

LCM of:
and

Least Common Multiple of 308432 and 308435

LCM of 308432 and 308435 is 95131223920

Least common multiple can be found by multiplying the highest exponent prime factors of 308432 and 308435. First we will calculate the prime factors of 308432 and 308435.

Prime Factorization of 308432


2 308432
2 154216
2 77108
2 38554
37 19277
521 521
1

Prime factors of 308432 are 2, 37,521. Prime factorization of 308432 in exponential form is:

308432 = 24×371×5211

Prime Factorization of 308435


5 308435
61687 61687
1

Prime factors of 308435 are 5,61687. Prime factorization of 308435 in exponential form is:

308435 = 51×616871

Now multiplying the highest exponent prime factors to calculate the LCM of 308432 and 308435.

LCM(308432,308435) = 24×51×371×5211×616871
LCM(308432,308435) = 95131223920

Factors of 308432

List of positive integer factors of 308432 that divides 308432 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 521, 592, 1042, 2084, 4168, 8336, 19277, 38554, 77108, 154216, 308432

Factors of 308435

List of positive integer factors of 308435 that divides 308435 without a remainder.

1, 5, 61687, 308435

Least Common Multiple of 308432 and 308435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308432 and 308435, than apply into the LCM equation.

GCF(308432,308435) = 1
LCM(308432,308435) = ( 308432 × 308435) / 1
LCM(308432,308435) = 95131223920 / 1
LCM(308432,308435) = 95131223920

Properties of LCM 308432 and 308435

(i) The LCM of 308435 and 308432 is associative

LCM of 308432 and 308435 = LCM of 308435 and 308432

Related Least Common Multiples of 308432

Related Least Common Multiples of 308435

Frequently Asked Questions on LCM of 308432 and 308435

1. What is the LCM of 308432 and 308435?

Answer: LCM of 308432 and 308435 is 95131223920.

2. What are the Factors of 308432?

Answer: Factors of 308432 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 521, 592, 1042, 2084, 4168, 8336, 19277, 38554, 77108, 154216, 308432. There are 20 integers that are factors of 308432. The greatest factor of 308432 is 308432.

3. What are the Factors of 308435?

Answer: Factors of 308435 are 1, 5, 61687, 308435. There are 4 integers that are factors of 308435. The greatest factor of 308435 is 308435.

4. How to Find the LCM of 308432 and 308435?

Answer:

Least Common Multiple of 308432 and 308435 = 95131223920

Step 1: Find the prime factorization of 308432

308432 = 2 x 2 x 2 x 2 x 37 x 521

Step 2: Find the prime factorization of 308435

308435 = 5 x 61687

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

LCM = 95131223920 = 2 x 2 x 2 x 2 x 5 x 37 x 521 x 61687

Step 4: Therefore, the least common multiple of 308432 and 308435 is 95131223920.