Least Common Multiple of 307427 and 307432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307427 and 307432 the smallest integer that is 94512897464 that is divisible by both numbers.

Least Common Multiple (LCM) of 307427 and 307432 is 94512897464.

LCM(307427,307432) = 94512897464

LCM of 307427 and 307432

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

LCM of:
and

Least Common Multiple of 307427 and 307432

LCM of 307427 and 307432 is 94512897464

Least common multiple can be found by multiplying the highest exponent prime factors of 307427 and 307432. First we will calculate the prime factors of 307427 and 307432.

Prime Factorization of 307427


31 307427
47 9917
211 211
1

Prime factors of 307427 are 31, 47,211. Prime factorization of 307427 in exponential form is:

307427 = 311×471×2111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 307427 and 307432.

LCM(307427,307432) = 23×311×471×831×2111×4631
LCM(307427,307432) = 94512897464

Factors of 307427

List of positive integer factors of 307427 that divides 307427 without a remainder.

1, 31, 47, 211, 1457, 6541, 9917, 307427

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

Least Common Multiple of 307427 and 307432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307427 and 307432, than apply into the LCM equation.

GCF(307427,307432) = 1
LCM(307427,307432) = ( 307427 × 307432) / 1
LCM(307427,307432) = 94512897464 / 1
LCM(307427,307432) = 94512897464

Properties of LCM 307427 and 307432

(i) The LCM of 307432 and 307427 is associative

LCM of 307427 and 307432 = LCM of 307432 and 307427

Related Least Common Multiples of 307427

Related Least Common Multiples of 307432

Frequently Asked Questions on LCM of 307427 and 307432

1. What is the LCM of 307427 and 307432?

Answer: LCM of 307427 and 307432 is 94512897464.

2. What are the Factors of 307427?

Answer: Factors of 307427 are 1, 31, 47, 211, 1457, 6541, 9917, 307427. There are 8 integers that are factors of 307427. The greatest factor of 307427 is 307427.

3. 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.

4. How to Find the LCM of 307427 and 307432?

Answer:

Least Common Multiple of 307427 and 307432 = 94512897464

Step 1: Find the prime factorization of 307427

307427 = 31 x 47 x 211

Step 2: Find the prime factorization of 307432

307432 = 2 x 2 x 2 x 83 x 463

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

LCM = 94512897464 = 2 x 2 x 2 x 31 x 47 x 83 x 211 x 463

Step 4: Therefore, the least common multiple of 307427 and 307432 is 94512897464.