Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 22 and 62 the smallest integer that is 682 that is divisible by both numbers.
Least Common Multiple (LCM) of 22 and 62 is 682.
LCM(22,62) = 682
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 22 and 62. First we will calculate the prime factors of 22 and 62.
Prime Factorization of 22
2 | 22 |
11 | 11 |
1 |
Prime factors of 22 are 2,11. Prime factorization of 22 in exponential form is:
22 = 21×111
Prime Factorization of 62
2 | 62 |
31 | 31 |
1 |
Prime factors of 62 are 2,31. Prime factorization of 62 in exponential form is:
62 = 21×311
Now multiplying the highest exponent prime factors to calculate the LCM of 22 and 62.
LCM(22,62) = 21×111×311
LCM(22,62) = 682
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1, 2, 31, 62
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22 and 62, than apply into the LCM equation.
GCF(22,62) = 2
LCM(22,62) = ( 22 × 62) / 2
LCM(22,62) = 1364 / 2
LCM(22,62) = 682
(i) The LCM of 62 and 22 is associative
LCM of 22 and 62 = LCM of 62 and 22
1. What is the LCM of 22 and 62?
Answer: LCM of 22 and 62 is 682.
2. What are the Factors of 22?
Answer: Factors of 22 are 1, 2, 11, 22. There are 4 integers that are factors of 22. The greatest factor of 22 is 22.
3. What are the Factors of 62?
Answer: Factors of 62 are 1, 2, 31, 62. There are 4 integers that are factors of 62. The greatest factor of 62 is 62.
4. How to Find the LCM of 22 and 62?
Answer:
Least Common Multiple of 22 and 62 = 682
Step 1: Find the prime factorization of 22
22 = 2 x 11
Step 2: Find the prime factorization of 62
62 = 2 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 682 = 2 x 11 x 31
Step 4: Therefore, the least common multiple of 22 and 62 is 682.