Least Common Multiple of 307420 and 307428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307420 and 307428 the smallest integer that is 23627378940 that is divisible by both numbers.

Least Common Multiple (LCM) of 307420 and 307428 is 23627378940.

LCM(307420,307428) = 23627378940

LCM of 307420 and 307428

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

LCM of:
and

Least Common Multiple of 307420 and 307428

LCM of 307420 and 307428 is 23627378940

Least common multiple can be found by multiplying the highest exponent prime factors of 307420 and 307428. First we will calculate the prime factors of 307420 and 307428.

Prime Factorization of 307420


2 307420
2 153710
5 76855
19 15371
809 809
1

Prime factors of 307420 are 2, 5, 19,809. Prime factorization of 307420 in exponential form is:

307420 = 22×51×191×8091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 307420 and 307428.

LCM(307420,307428) = 22×31×51×111×171×191×1371×8091
LCM(307420,307428) = 23627378940

Factors of 307420

List of positive integer factors of 307420 that divides 307420 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380, 809, 1618, 3236, 4045, 8090, 15371, 16180, 30742, 61484, 76855, 153710, 307420

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

Least Common Multiple of 307420 and 307428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307420 and 307428, than apply into the LCM equation.

GCF(307420,307428) = 4
LCM(307420,307428) = ( 307420 × 307428) / 4
LCM(307420,307428) = 94509515760 / 4
LCM(307420,307428) = 23627378940

Properties of LCM 307420 and 307428

(i) The LCM of 307428 and 307420 is associative

LCM of 307420 and 307428 = LCM of 307428 and 307420

Related Least Common Multiples of 307420

Related Least Common Multiples of 307428

Frequently Asked Questions on LCM of 307420 and 307428

1. What is the LCM of 307420 and 307428?

Answer: LCM of 307420 and 307428 is 23627378940.

2. What are the Factors of 307420?

Answer: Factors of 307420 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380, 809, 1618, 3236, 4045, 8090, 15371, 16180, 30742, 61484, 76855, 153710, 307420. There are 24 integers that are factors of 307420. The greatest factor of 307420 is 307420.

3. 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.

4. How to Find the LCM of 307420 and 307428?

Answer:

Least Common Multiple of 307420 and 307428 = 23627378940

Step 1: Find the prime factorization of 307420

307420 = 2 x 2 x 5 x 19 x 809

Step 2: Find the prime factorization of 307428

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

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

LCM = 23627378940 = 2 x 2 x 3 x 5 x 11 x 17 x 19 x 137 x 809

Step 4: Therefore, the least common multiple of 307420 and 307428 is 23627378940.