Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 306412 and 306418 the smallest integer that is 46945076108 that is divisible by both numbers.
Least Common Multiple (LCM) of 306412 and 306418 is 46945076108.
LCM(306412,306418) = 46945076108
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 306412 and 306418. First we will calculate the prime factors of 306412 and 306418.
Prime Factorization of 306412
2 | 306412 |
2 | 153206 |
76603 | 76603 |
1 |
Prime factors of 306412 are 2,76603. Prime factorization of 306412 in exponential form is:
306412 = 22×766031
Prime Factorization of 306418
2 | 306418 |
7 | 153209 |
43 | 21887 |
509 | 509 |
1 |
Prime factors of 306418 are 2, 7, 43,509. Prime factorization of 306418 in exponential form is:
306418 = 21×71×431×5091
Now multiplying the highest exponent prime factors to calculate the LCM of 306412 and 306418.
LCM(306412,306418) = 22×71×431×5091×766031
LCM(306412,306418) = 46945076108
Factors of 306412
List of positive integer factors of 306412 that divides 306412 without a remainder.
1, 2, 4, 76603, 153206, 306412
Factors of 306418
List of positive integer factors of 306418 that divides 306418 without a remainder.
1, 2, 7, 14, 43, 86, 301, 509, 602, 1018, 3563, 7126, 21887, 43774, 153209, 306418
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306412 and 306418, than apply into the LCM equation.
GCF(306412,306418) = 2
LCM(306412,306418) = ( 306412 × 306418) / 2
LCM(306412,306418) = 93890152216 / 2
LCM(306412,306418) = 46945076108
(i) The LCM of 306418 and 306412 is associative
LCM of 306412 and 306418 = LCM of 306418 and 306412
1. What is the LCM of 306412 and 306418?
Answer: LCM of 306412 and 306418 is 46945076108.
2. What are the Factors of 306412?
Answer: Factors of 306412 are 1, 2, 4, 76603, 153206, 306412. There are 6 integers that are factors of 306412. The greatest factor of 306412 is 306412.
3. What are the Factors of 306418?
Answer: Factors of 306418 are 1, 2, 7, 14, 43, 86, 301, 509, 602, 1018, 3563, 7126, 21887, 43774, 153209, 306418. There are 16 integers that are factors of 306418. The greatest factor of 306418 is 306418.
4. How to Find the LCM of 306412 and 306418?
Answer:
Least Common Multiple of 306412 and 306418 = 46945076108
Step 1: Find the prime factorization of 306412
306412 = 2 x 2 x 76603
Step 2: Find the prime factorization of 306418
306418 = 2 x 7 x 43 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46945076108 = 2 x 2 x 7 x 43 x 509 x 76603
Step 4: Therefore, the least common multiple of 306412 and 306418 is 46945076108.