Least Common Multiple of 63 and 67
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 63 and 67 the smallest integer that is 4221 that is divisible by both numbers.
Least Common Multiple (LCM) of 63 and 67 is 4221.
LCM(63,67) = 4221
LCM of 63 and 67
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 63 and 67 by Prime method
- Least Common Multiple of 63 and 67 with GCF Formula
LCM of 63 and 67 is 4221
Least common multiple can be found by multiplying the highest exponent prime factors of 63 and 67. First we will calculate the prime factors of 63 and 67.
Prime Factorization of 63
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 63 are 3,7. Prime factorization of 63 in exponential form is:
63 = 32×71
Prime Factorization of 67
| 67 | 67 |
| 1 |
Prime factors of 67 are 67. Prime factorization of 67 in exponential form is:
67 = 671
Now multiplying the highest exponent prime factors to calculate the LCM of 63 and 67.
LCM(63,67) = 32×71×671
LCM(63,67) = 4221
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1, 67
Least Common Multiple of 63 and 67 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63 and 67, than apply into the LCM equation.
GCF(63,67) = 1
LCM(63,67) = ( 63 × 67) / 1
LCM(63,67) = 4221 / 1
LCM(63,67) = 4221
Properties of LCM 63 and 67
(i) The LCM of 67 and 63 is associative
LCM of 63 and 67 = LCM of 67 and 63
Related Least Common Multiples of 63
Related Least Common Multiples of 67
Frequently Asked Questions on LCM of 63 and 67
1. What is the LCM of 63 and 67?
Answer: LCM of 63 and 67 is 4221.
2. What are the Factors of 63?
Answer: Factors of 63 are 1, 3, 7, 9, 21, 63. There are 6 integers that are factors of 63. The greatest factor of 63 is 63.
3. What are the Factors of 67?
Answer: Factors of 67 are 1, 67. There are 2 integers that are factors of 67. The greatest factor of 67 is 67.
4. How to Find the LCM of 63 and 67?
Answer:
Least Common Multiple of 63 and 67 = 4221
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 67
67 = 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4221 = 3 x 3 x 7 x 67
Step 4: Therefore, the least common multiple of 63 and 67 is 4221.
