Least Common Multiple of 307428 and 307435

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 307435 the smallest integer that is 94514127180 that is divisible by both numbers.

Least Common Multiple (LCM) of 307428 and 307435 is 94514127180.

LCM(307428,307435) = 94514127180

LCM of 307428 and 307435

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

LCM of:
and

Least Common Multiple of 307428 and 307435

LCM of 307428 and 307435 is 94514127180

Least common multiple can be found by multiplying the highest exponent prime factors of 307428 and 307435. First we will calculate the prime factors of 307428 and 307435.

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 307435


5 307435
61487 61487
1

Prime factors of 307435 are 5,61487. Prime factorization of 307435 in exponential form is:

307435 = 51×614871

Now multiplying the highest exponent prime factors to calculate the LCM of 307428 and 307435.

LCM(307428,307435) = 22×31×51×111×171×1371×614871
LCM(307428,307435) = 94514127180

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 307435

List of positive integer factors of 307435 that divides 307435 without a remainder.

1, 5, 61487, 307435

Least Common Multiple of 307428 and 307435 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 307435, than apply into the LCM equation.

GCF(307428,307435) = 1
LCM(307428,307435) = ( 307428 × 307435) / 1
LCM(307428,307435) = 94514127180 / 1
LCM(307428,307435) = 94514127180

Properties of LCM 307428 and 307435

(i) The LCM of 307435 and 307428 is associative

LCM of 307428 and 307435 = LCM of 307435 and 307428

Related Least Common Multiples of 307428

Related Least Common Multiples of 307435

Frequently Asked Questions on LCM of 307428 and 307435

1. What is the LCM of 307428 and 307435?

Answer: LCM of 307428 and 307435 is 94514127180.

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 307435?

Answer: Factors of 307435 are 1, 5, 61487, 307435. There are 4 integers that are factors of 307435. The greatest factor of 307435 is 307435.

4. How to Find the LCM of 307428 and 307435?

Answer:

Least Common Multiple of 307428 and 307435 = 94514127180

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 307435

307435 = 5 x 61487

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

LCM = 94514127180 = 2 x 2 x 3 x 5 x 11 x 17 x 137 x 61487

Step 4: Therefore, the least common multiple of 307428 and 307435 is 94514127180.