Least Common Multiple of 307432 and 307436

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 307436 the smallest integer that is 23628916088 that is divisible by both numbers.

Least Common Multiple (LCM) of 307432 and 307436 is 23628916088.

LCM(307432,307436) = 23628916088

LCM of 307432 and 307436

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

LCM of:
and

Least Common Multiple of 307432 and 307436

LCM of 307432 and 307436 is 23628916088

Least common multiple can be found by multiplying the highest exponent prime factors of 307432 and 307436. First we will calculate the prime factors of 307432 and 307436.

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 307436


2 307436
2 153718
151 76859
509 509
1

Prime factors of 307436 are 2, 151,509. Prime factorization of 307436 in exponential form is:

307436 = 22×1511×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 307432 and 307436.

LCM(307432,307436) = 23×831×1511×4631×5091
LCM(307432,307436) = 23628916088

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 307436

List of positive integer factors of 307436 that divides 307436 without a remainder.

1, 2, 4, 151, 302, 509, 604, 1018, 2036, 76859, 153718, 307436

Least Common Multiple of 307432 and 307436 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 307436, than apply into the LCM equation.

GCF(307432,307436) = 4
LCM(307432,307436) = ( 307432 × 307436) / 4
LCM(307432,307436) = 94515664352 / 4
LCM(307432,307436) = 23628916088

Properties of LCM 307432 and 307436

(i) The LCM of 307436 and 307432 is associative

LCM of 307432 and 307436 = LCM of 307436 and 307432

Related Least Common Multiples of 307432

Related Least Common Multiples of 307436

Frequently Asked Questions on LCM of 307432 and 307436

1. What is the LCM of 307432 and 307436?

Answer: LCM of 307432 and 307436 is 23628916088.

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 307436?

Answer: Factors of 307436 are 1, 2, 4, 151, 302, 509, 604, 1018, 2036, 76859, 153718, 307436. There are 12 integers that are factors of 307436. The greatest factor of 307436 is 307436.

4. How to Find the LCM of 307432 and 307436?

Answer:

Least Common Multiple of 307432 and 307436 = 23628916088

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 307436

307436 = 2 x 2 x 151 x 509

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

LCM = 23628916088 = 2 x 2 x 2 x 83 x 151 x 463 x 509

Step 4: Therefore, the least common multiple of 307432 and 307436 is 23628916088.