Least Common Multiple of 307428 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 307428 and 307436 the smallest integer that is 23628608652 that is divisible by both numbers.

Least Common Multiple (LCM) of 307428 and 307436 is 23628608652.

LCM(307428,307436) = 23628608652

LCM of 307428 and 307436

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

LCM of:
and

Least Common Multiple of 307428 and 307436

LCM of 307428 and 307436 is 23628608652

Least common multiple can be found by multiplying the highest exponent prime factors of 307428 and 307436. First we will calculate the prime factors of 307428 and 307436.

Prime Factorization of 307428


2 307428
2 153714
3 76857
11 25619
17 2329
137 137
1

Prime factors of 307428 are 2, 3, 11, 17,137. Prime factorization of 307428 in exponential form is:

307428 = 22×31×111×171×1371

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 307428 and 307436.

LCM(307428,307436) = 22×31×111×171×1371×1511×5091
LCM(307428,307436) = 23628608652

Factors of 307428

List of positive integer factors of 307428 that divides 307428 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 137, 187, 204, 274, 374, 411, 548, 561, 748, 822, 1122, 1507, 1644, 2244, 2329, 3014, 4521, 4658, 6028, 6987, 9042, 9316, 13974, 18084, 25619, 27948, 51238, 76857, 102476, 153714, 307428

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 307428 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 307428 and 307436, than apply into the LCM equation.

GCF(307428,307436) = 4
LCM(307428,307436) = ( 307428 × 307436) / 4
LCM(307428,307436) = 94514434608 / 4
LCM(307428,307436) = 23628608652

Properties of LCM 307428 and 307436

(i) The LCM of 307436 and 307428 is associative

LCM of 307428 and 307436 = LCM of 307436 and 307428

Related Least Common Multiples of 307428

Related Least Common Multiples of 307436

Frequently Asked Questions on LCM of 307428 and 307436

1. What is the LCM of 307428 and 307436?

Answer: LCM of 307428 and 307436 is 23628608652.

2. What are the Factors of 307428?

Answer: Factors of 307428 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 137, 187, 204, 274, 374, 411, 548, 561, 748, 822, 1122, 1507, 1644, 2244, 2329, 3014, 4521, 4658, 6028, 6987, 9042, 9316, 13974, 18084, 25619, 27948, 51238, 76857, 102476, 153714, 307428. There are 48 integers that are factors of 307428. The greatest factor of 307428 is 307428.

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 307428 and 307436?

Answer:

Least Common Multiple of 307428 and 307436 = 23628608652

Step 1: Find the prime factorization of 307428

307428 = 2 x 2 x 3 x 11 x 17 x 137

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 = 23628608652 = 2 x 2 x 3 x 11 x 17 x 137 x 151 x 509

Step 4: Therefore, the least common multiple of 307428 and 307436 is 23628608652.