Least Common Multiple of 307454 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 307454 and 307461 the smallest integer that is 13504302042 that is divisible by both numbers.

Least Common Multiple (LCM) of 307454 and 307461 is 13504302042.

LCM(307454,307461) = 13504302042

LCM of 307454 and 307461

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

LCM of:
and

Least Common Multiple of 307454 and 307461

LCM of 307454 and 307461 is 13504302042

Least common multiple can be found by multiplying the highest exponent prime factors of 307454 and 307461. First we will calculate the prime factors of 307454 and 307461.

Prime Factorization of 307454


2 307454
7 153727
21961 21961
1

Prime factors of 307454 are 2, 7,21961. Prime factorization of 307454 in exponential form is:

307454 = 21×71×219611

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 307454 and 307461.

LCM(307454,307461) = 21×31×71×114×219611
LCM(307454,307461) = 13504302042

Factors of 307454

List of positive integer factors of 307454 that divides 307454 without a remainder.

1, 2, 7, 14, 21961, 43922, 153727, 307454

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 307454 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 307454 and 307461, than apply into the LCM equation.

GCF(307454,307461) = 7
LCM(307454,307461) = ( 307454 × 307461) / 7
LCM(307454,307461) = 94530114294 / 7
LCM(307454,307461) = 13504302042

Properties of LCM 307454 and 307461

(i) The LCM of 307461 and 307454 is associative

LCM of 307454 and 307461 = LCM of 307461 and 307454

Related Least Common Multiples of 307454

Related Least Common Multiples of 307461

Frequently Asked Questions on LCM of 307454 and 307461

1. What is the LCM of 307454 and 307461?

Answer: LCM of 307454 and 307461 is 13504302042.

2. What are the Factors of 307454?

Answer: Factors of 307454 are 1, 2, 7, 14, 21961, 43922, 153727, 307454. There are 8 integers that are factors of 307454. The greatest factor of 307454 is 307454.

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 307454 and 307461?

Answer:

Least Common Multiple of 307454 and 307461 = 13504302042

Step 1: Find the prime factorization of 307454

307454 = 2 x 7 x 21961

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 = 13504302042 = 2 x 3 x 7 x 11 x 11 x 11 x 11 x 21961

Step 4: Therefore, the least common multiple of 307454 and 307461 is 13504302042.