Least Common Multiple of 72 and 79
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 72 and 79 the smallest integer that is 5688 that is divisible by both numbers.
Least Common Multiple (LCM) of 72 and 79 is 5688.
LCM(72,79) = 5688
LCM of 72 and 79
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 72 and 79 by Prime method
- Least Common Multiple of 72 and 79 with GCF Formula
LCM of 72 and 79 is 5688
Least common multiple can be found by multiplying the highest exponent prime factors of 72 and 79. First we will calculate the prime factors of 72 and 79.
Prime Factorization of 72
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 72 are 2,3. Prime factorization of 72 in exponential form is:
72 = 23×32
Prime Factorization of 79
| 79 | 79 |
| 1 |
Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:
79 = 791
Now multiplying the highest exponent prime factors to calculate the LCM of 72 and 79.
LCM(72,79) = 23×32×791
LCM(72,79) = 5688
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1, 79
Least Common Multiple of 72 and 79 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72 and 79, than apply into the LCM equation.
GCF(72,79) = 1
LCM(72,79) = ( 72 × 79) / 1
LCM(72,79) = 5688 / 1
LCM(72,79) = 5688
Properties of LCM 72 and 79
(i) The LCM of 79 and 72 is associative
LCM of 72 and 79 = LCM of 79 and 72
Related Least Common Multiples of 72
Related Least Common Multiples of 79
Frequently Asked Questions on LCM of 72 and 79
1. What is the LCM of 72 and 79?
Answer: LCM of 72 and 79 is 5688.
2. What are the Factors of 72?
Answer: Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. There are 12 integers that are factors of 72. The greatest factor of 72 is 72.
3. What are the Factors of 79?
Answer: Factors of 79 are 1, 79. There are 2 integers that are factors of 79. The greatest factor of 79 is 79.
4. How to Find the LCM of 72 and 79?
Answer:
Least Common Multiple of 72 and 79 = 5688
Step 1: Find the prime factorization of 72
72 = 2 x 2 x 2 x 3 x 3
Step 2: Find the prime factorization of 79
79 = 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5688 = 2 x 2 x 2 x 3 x 3 x 79
Step 4: Therefore, the least common multiple of 72 and 79 is 5688.
