Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 262 and 263 the smallest integer that is 68906 that is divisible by both numbers.
Least Common Multiple (LCM) of 262 and 263 is 68906.
LCM(262,263) = 68906
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 262 and 263. First we will calculate the prime factors of 262 and 263.
Prime Factorization of 262
2 | 262 |
131 | 131 |
1 |
Prime factors of 262 are 2,131. Prime factorization of 262 in exponential form is:
262 = 21×1311
Prime Factorization of 263
263 | 263 |
1 |
Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:
263 = 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 262 and 263.
LCM(262,263) = 21×1311×2631
LCM(262,263) = 68906
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1, 263
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 262 and 263, than apply into the LCM equation.
GCF(262,263) = 1
LCM(262,263) = ( 262 × 263) / 1
LCM(262,263) = 68906 / 1
LCM(262,263) = 68906
(i) The LCM of 263 and 262 is associative
LCM of 262 and 263 = LCM of 263 and 262
1. What is the LCM of 262 and 263?
Answer: LCM of 262 and 263 is 68906.
2. What are the Factors of 262?
Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.
3. What are the Factors of 263?
Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.
4. How to Find the LCM of 262 and 263?
Answer:
Least Common Multiple of 262 and 263 = 68906
Step 1: Find the prime factorization of 262
262 = 2 x 131
Step 2: Find the prime factorization of 263
263 = 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68906 = 2 x 131 x 263
Step 4: Therefore, the least common multiple of 262 and 263 is 68906.