Least Common Multiple of 308427 and 308432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308427 and 308432 the smallest integer that is 95128756464 that is divisible by both numbers.

Least Common Multiple (LCM) of 308427 and 308432 is 95128756464.

LCM(308427,308432) = 95128756464

LCM of 308427 and 308432

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

LCM of:
and

Least Common Multiple of 308427 and 308432

LCM of 308427 and 308432 is 95128756464

Least common multiple can be found by multiplying the highest exponent prime factors of 308427 and 308432. First we will calculate the prime factors of 308427 and 308432.

Prime Factorization of 308427


3 308427
7 102809
19 14687
773 773
1

Prime factors of 308427 are 3, 7, 19,773. Prime factorization of 308427 in exponential form is:

308427 = 31×71×191×7731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 308427 and 308432.

LCM(308427,308432) = 24×31×71×191×371×5211×7731
LCM(308427,308432) = 95128756464

Factors of 308427

List of positive integer factors of 308427 that divides 308427 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399, 773, 2319, 5411, 14687, 16233, 44061, 102809, 308427

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

Least Common Multiple of 308427 and 308432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308427 and 308432, than apply into the LCM equation.

GCF(308427,308432) = 1
LCM(308427,308432) = ( 308427 × 308432) / 1
LCM(308427,308432) = 95128756464 / 1
LCM(308427,308432) = 95128756464

Properties of LCM 308427 and 308432

(i) The LCM of 308432 and 308427 is associative

LCM of 308427 and 308432 = LCM of 308432 and 308427

Related Least Common Multiples of 308427

Related Least Common Multiples of 308432

Frequently Asked Questions on LCM of 308427 and 308432

1. What is the LCM of 308427 and 308432?

Answer: LCM of 308427 and 308432 is 95128756464.

2. What are the Factors of 308427?

Answer: Factors of 308427 are 1, 3, 7, 19, 21, 57, 133, 399, 773, 2319, 5411, 14687, 16233, 44061, 102809, 308427. There are 16 integers that are factors of 308427. The greatest factor of 308427 is 308427.

3. 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.

4. How to Find the LCM of 308427 and 308432?

Answer:

Least Common Multiple of 308427 and 308432 = 95128756464

Step 1: Find the prime factorization of 308427

308427 = 3 x 7 x 19 x 773

Step 2: Find the prime factorization of 308432

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

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

LCM = 95128756464 = 2 x 2 x 2 x 2 x 3 x 7 x 19 x 37 x 521 x 773

Step 4: Therefore, the least common multiple of 308427 and 308432 is 95128756464.