Least Common Multiple of 63 and 70
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 70 the smallest integer that is 630 that is divisible by both numbers.
Least Common Multiple (LCM) of 63 and 70 is 630.
LCM(63,70) = 630
LCM of 63 and 70
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 63 and 70 by Prime method
- Least Common Multiple of 63 and 70 with GCF Formula
LCM of 63 and 70 is 630
Least common multiple can be found by multiplying the highest exponent prime factors of 63 and 70. First we will calculate the prime factors of 63 and 70.
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 70
| 2 | 70 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 70 are 2, 5,7. Prime factorization of 70 in exponential form is:
70 = 21×51×71
Now multiplying the highest exponent prime factors to calculate the LCM of 63 and 70.
LCM(63,70) = 21×32×51×71
LCM(63,70) = 630
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Least Common Multiple of 63 and 70 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 70, than apply into the LCM equation.
GCF(63,70) = 7
LCM(63,70) = ( 63 × 70) / 7
LCM(63,70) = 4410 / 7
LCM(63,70) = 630
Properties of LCM 63 and 70
(i) The LCM of 70 and 63 is associative
LCM of 63 and 70 = LCM of 70 and 63
Related Least Common Multiples of 63
Related Least Common Multiples of 70
Frequently Asked Questions on LCM of 63 and 70
1. What is the LCM of 63 and 70?
Answer: LCM of 63 and 70 is 630.
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 70?
Answer: Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. There are 8 integers that are factors of 70. The greatest factor of 70 is 70.
4. How to Find the LCM of 63 and 70?
Answer:
Least Common Multiple of 63 and 70 = 630
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 70
70 = 2 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 630 = 2 x 3 x 3 x 5 x 7
Step 4: Therefore, the least common multiple of 63 and 70 is 630.