Least Common Multiple of 307455 and 307461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307455 and 307461 the smallest integer that is 31510140585 that is divisible by both numbers.

Least Common Multiple (LCM) of 307455 and 307461 is 31510140585.

LCM(307455,307461) = 31510140585

LCM of 307455 and 307461

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

LCM of:
and

Least Common Multiple of 307455 and 307461

LCM of 307455 and 307461 is 31510140585

Least common multiple can be found by multiplying the highest exponent prime factors of 307455 and 307461. First we will calculate the prime factors of 307455 and 307461.

Prime Factorization of 307455


3 307455
5 102485
103 20497
199 199
1

Prime factors of 307455 are 3, 5, 103,199. Prime factorization of 307455 in exponential form is:

307455 = 31×51×1031×1991

Prime Factorization of 307461


3 307461
7 102487
11 14641
11 1331
11 121
11 11
1

Prime factors of 307461 are 3, 7,11. Prime factorization of 307461 in exponential form is:

307461 = 31×71×114

Now multiplying the highest exponent prime factors to calculate the LCM of 307455 and 307461.

LCM(307455,307461) = 31×51×71×114×1031×1991
LCM(307455,307461) = 31510140585

Factors of 307455

List of positive integer factors of 307455 that divides 307455 without a remainder.

1, 3, 5, 15, 103, 199, 309, 515, 597, 995, 1545, 2985, 20497, 61491, 102485, 307455

Factors of 307461

List of positive integer factors of 307461 that divides 307461 without a remainder.

1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 1331, 2541, 3993, 9317, 14641, 27951, 43923, 102487, 307461

Least Common Multiple of 307455 and 307461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307455 and 307461, than apply into the LCM equation.

GCF(307455,307461) = 3
LCM(307455,307461) = ( 307455 × 307461) / 3
LCM(307455,307461) = 94530421755 / 3
LCM(307455,307461) = 31510140585

Properties of LCM 307455 and 307461

(i) The LCM of 307461 and 307455 is associative

LCM of 307455 and 307461 = LCM of 307461 and 307455

Related Least Common Multiples of 307455

Related Least Common Multiples of 307461

Frequently Asked Questions on LCM of 307455 and 307461

1. What is the LCM of 307455 and 307461?

Answer: LCM of 307455 and 307461 is 31510140585.

2. What are the Factors of 307455?

Answer: Factors of 307455 are 1, 3, 5, 15, 103, 199, 309, 515, 597, 995, 1545, 2985, 20497, 61491, 102485, 307455. There are 16 integers that are factors of 307455. The greatest factor of 307455 is 307455.

3. What are the Factors of 307461?

Answer: Factors of 307461 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 1331, 2541, 3993, 9317, 14641, 27951, 43923, 102487, 307461. There are 20 integers that are factors of 307461. The greatest factor of 307461 is 307461.

4. How to Find the LCM of 307455 and 307461?

Answer:

Least Common Multiple of 307455 and 307461 = 31510140585

Step 1: Find the prime factorization of 307455

307455 = 3 x 5 x 103 x 199

Step 2: Find the prime factorization of 307461

307461 = 3 x 7 x 11 x 11 x 11 x 11

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

LCM = 31510140585 = 3 x 5 x 7 x 11 x 11 x 11 x 11 x 103 x 199

Step 4: Therefore, the least common multiple of 307455 and 307461 is 31510140585.