Least Common Multiple of 307406 and 307412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307406 and 307412 the smallest integer that is 47250146636 that is divisible by both numbers.

Least Common Multiple (LCM) of 307406 and 307412 is 47250146636.

LCM(307406,307412) = 47250146636

LCM of 307406 and 307412

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

LCM of:
and

Least Common Multiple of 307406 and 307412

LCM of 307406 and 307412 is 47250146636

Least common multiple can be found by multiplying the highest exponent prime factors of 307406 and 307412. First we will calculate the prime factors of 307406 and 307412.

Prime Factorization of 307406


2 307406
11 153703
89 13973
157 157
1

Prime factors of 307406 are 2, 11, 89,157. Prime factorization of 307406 in exponential form is:

307406 = 21×111×891×1571

Prime Factorization of 307412


2 307412
2 153706
7 76853
10979 10979
1

Prime factors of 307412 are 2, 7,10979. Prime factorization of 307412 in exponential form is:

307412 = 22×71×109791

Now multiplying the highest exponent prime factors to calculate the LCM of 307406 and 307412.

LCM(307406,307412) = 22×71×111×891×1571×109791
LCM(307406,307412) = 47250146636

Factors of 307406

List of positive integer factors of 307406 that divides 307406 without a remainder.

1, 2, 11, 22, 89, 157, 178, 314, 979, 1727, 1958, 3454, 13973, 27946, 153703, 307406

Factors of 307412

List of positive integer factors of 307412 that divides 307412 without a remainder.

1, 2, 4, 7, 14, 28, 10979, 21958, 43916, 76853, 153706, 307412

Least Common Multiple of 307406 and 307412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307406 and 307412, than apply into the LCM equation.

GCF(307406,307412) = 2
LCM(307406,307412) = ( 307406 × 307412) / 2
LCM(307406,307412) = 94500293272 / 2
LCM(307406,307412) = 47250146636

Properties of LCM 307406 and 307412

(i) The LCM of 307412 and 307406 is associative

LCM of 307406 and 307412 = LCM of 307412 and 307406

Related Least Common Multiples of 307406

Related Least Common Multiples of 307412

Frequently Asked Questions on LCM of 307406 and 307412

1. What is the LCM of 307406 and 307412?

Answer: LCM of 307406 and 307412 is 47250146636.

2. What are the Factors of 307406?

Answer: Factors of 307406 are 1, 2, 11, 22, 89, 157, 178, 314, 979, 1727, 1958, 3454, 13973, 27946, 153703, 307406. There are 16 integers that are factors of 307406. The greatest factor of 307406 is 307406.

3. What are the Factors of 307412?

Answer: Factors of 307412 are 1, 2, 4, 7, 14, 28, 10979, 21958, 43916, 76853, 153706, 307412. There are 12 integers that are factors of 307412. The greatest factor of 307412 is 307412.

4. How to Find the LCM of 307406 and 307412?

Answer:

Least Common Multiple of 307406 and 307412 = 47250146636

Step 1: Find the prime factorization of 307406

307406 = 2 x 11 x 89 x 157

Step 2: Find the prime factorization of 307412

307412 = 2 x 2 x 7 x 10979

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

LCM = 47250146636 = 2 x 2 x 7 x 11 x 89 x 157 x 10979

Step 4: Therefore, the least common multiple of 307406 and 307412 is 47250146636.