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 7 the smallest integer that is 63 that is divisible by both numbers.
Least Common Multiple (LCM) of 63 and 7 is 63.
LCM(63,7) = 63
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 63 and 7. First we will calculate the prime factors of 63 and 7.
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 7
7 | 7 |
1 |
Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:
7 = 71
Now multiplying the highest exponent prime factors to calculate the LCM of 63 and 7.
LCM(63,7) = 32×71
LCM(63,7) = 63
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1, 7
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63 and 7, than apply into the LCM equation.
GCF(63,7) = 7
LCM(63,7) = ( 63 × 7) / 7
LCM(63,7) = 441 / 7
LCM(63,7) = 63
(i) The LCM of 7 and 63 is associative
LCM of 63 and 7 = LCM of 7 and 63
1. What is the LCM of 63 and 7?
Answer: LCM of 63 and 7 is 63.
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 7?
Answer: Factors of 7 are 1, 7. There are 2 integers that are factors of 7. The greatest factor of 7 is 7.
4. How to Find the LCM of 63 and 7?
Answer:
Least Common Multiple of 63 and 7 = 63
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 7
7 = 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63 = 3 x 3 x 7
Step 4: Therefore, the least common multiple of 63 and 7 is 63.