Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 79 and 83 the smallest integer that is 6557 that is divisible by both numbers.
Least Common Multiple (LCM) of 79 and 83 is 6557.
LCM(79,83) = 6557
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 79 and 83. First we will calculate the prime factors of 79 and 83.
Prime Factorization of 79
79 | 79 |
1 |
Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:
79 = 791
Prime Factorization of 83
83 | 83 |
1 |
Prime factors of 83 are 83. Prime factorization of 83 in exponential form is:
83 = 831
Now multiplying the highest exponent prime factors to calculate the LCM of 79 and 83.
LCM(79,83) = 791×831
LCM(79,83) = 6557
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1, 79
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1, 83
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79 and 83, than apply into the LCM equation.
GCF(79,83) = 1
LCM(79,83) = ( 79 × 83) / 1
LCM(79,83) = 6557 / 1
LCM(79,83) = 6557
(i) The LCM of 83 and 79 is associative
LCM of 79 and 83 = LCM of 83 and 79
1. What is the LCM of 79 and 83?
Answer: LCM of 79 and 83 is 6557.
2. 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.
3. What are the Factors of 83?
Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.
4. How to Find the LCM of 79 and 83?
Answer:
Least Common Multiple of 79 and 83 = 6557
Step 1: Find the prime factorization of 79
79 = 79
Step 2: Find the prime factorization of 83
83 = 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6557 = 79 x 83
Step 4: Therefore, the least common multiple of 79 and 83 is 6557.