Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6263 and 6267 the smallest integer that is 39250221 that is divisible by both numbers.
Least Common Multiple (LCM) of 6263 and 6267 is 39250221.
LCM(6263,6267) = 39250221
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 6263 and 6267. First we will calculate the prime factors of 6263 and 6267.
Prime Factorization of 6263
6263 | 6263 |
1 |
Prime factors of 6263 are 6263. Prime factorization of 6263 in exponential form is:
6263 = 62631
Prime Factorization of 6267
3 | 6267 |
2089 | 2089 |
1 |
Prime factors of 6267 are 3,2089. Prime factorization of 6267 in exponential form is:
6267 = 31×20891
Now multiplying the highest exponent prime factors to calculate the LCM of 6263 and 6267.
LCM(6263,6267) = 31×20891×62631
LCM(6263,6267) = 39250221
Factors of 6263
List of positive integer factors of 6263 that divides 6263 without a remainder.
1, 6263
Factors of 6267
List of positive integer factors of 6267 that divides 6267 without a remainder.
1, 3, 2089, 6267
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6263 and 6267, than apply into the LCM equation.
GCF(6263,6267) = 1
LCM(6263,6267) = ( 6263 × 6267) / 1
LCM(6263,6267) = 39250221 / 1
LCM(6263,6267) = 39250221
(i) The LCM of 6267 and 6263 is associative
LCM of 6263 and 6267 = LCM of 6267 and 6263
1. What is the LCM of 6263 and 6267?
Answer: LCM of 6263 and 6267 is 39250221.
2. What are the Factors of 6263?
Answer: Factors of 6263 are 1, 6263. There are 2 integers that are factors of 6263. The greatest factor of 6263 is 6263.
3. What are the Factors of 6267?
Answer: Factors of 6267 are 1, 3, 2089, 6267. There are 4 integers that are factors of 6267. The greatest factor of 6267 is 6267.
4. How to Find the LCM of 6263 and 6267?
Answer:
Least Common Multiple of 6263 and 6267 = 39250221
Step 1: Find the prime factorization of 6263
6263 = 6263
Step 2: Find the prime factorization of 6267
6267 = 3 x 2089
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39250221 = 3 x 2089 x 6263
Step 4: Therefore, the least common multiple of 6263 and 6267 is 39250221.