Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 445 and 447 the smallest integer that is 198915 that is divisible by both numbers.
Least Common Multiple (LCM) of 445 and 447 is 198915.
LCM(445,447) = 198915
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 445 and 447. First we will calculate the prime factors of 445 and 447.
Prime Factorization of 445
5 | 445 |
89 | 89 |
1 |
Prime factors of 445 are 5,89. Prime factorization of 445 in exponential form is:
445 = 51×891
Prime Factorization of 447
3 | 447 |
149 | 149 |
1 |
Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:
447 = 31×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 445 and 447.
LCM(445,447) = 31×51×891×1491
LCM(445,447) = 198915
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1, 3, 149, 447
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 445 and 447, than apply into the LCM equation.
GCF(445,447) = 1
LCM(445,447) = ( 445 × 447) / 1
LCM(445,447) = 198915 / 1
LCM(445,447) = 198915
(i) The LCM of 447 and 445 is associative
LCM of 445 and 447 = LCM of 447 and 445
1. What is the LCM of 445 and 447?
Answer: LCM of 445 and 447 is 198915.
2. What are the Factors of 445?
Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.
3. What are the Factors of 447?
Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.
4. How to Find the LCM of 445 and 447?
Answer:
Least Common Multiple of 445 and 447 = 198915
Step 1: Find the prime factorization of 445
445 = 5 x 89
Step 2: Find the prime factorization of 447
447 = 3 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 198915 = 3 x 5 x 89 x 149
Step 4: Therefore, the least common multiple of 445 and 447 is 198915.