Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4073 and 4078 the smallest integer that is 16609694 that is divisible by both numbers.
Least Common Multiple (LCM) of 4073 and 4078 is 16609694.
LCM(4073,4078) = 16609694
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 4073 and 4078. First we will calculate the prime factors of 4073 and 4078.
Prime Factorization of 4073
4073 | 4073 |
1 |
Prime factors of 4073 are 4073. Prime factorization of 4073 in exponential form is:
4073 = 40731
Prime Factorization of 4078
2 | 4078 |
2039 | 2039 |
1 |
Prime factors of 4078 are 2,2039. Prime factorization of 4078 in exponential form is:
4078 = 21×20391
Now multiplying the highest exponent prime factors to calculate the LCM of 4073 and 4078.
LCM(4073,4078) = 21×20391×40731
LCM(4073,4078) = 16609694
Factors of 4073
List of positive integer factors of 4073 that divides 4073 without a remainder.
1, 4073
Factors of 4078
List of positive integer factors of 4078 that divides 4078 without a remainder.
1, 2, 2039, 4078
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4073 and 4078, than apply into the LCM equation.
GCF(4073,4078) = 1
LCM(4073,4078) = ( 4073 × 4078) / 1
LCM(4073,4078) = 16609694 / 1
LCM(4073,4078) = 16609694
(i) The LCM of 4078 and 4073 is associative
LCM of 4073 and 4078 = LCM of 4078 and 4073
1. What is the LCM of 4073 and 4078?
Answer: LCM of 4073 and 4078 is 16609694.
2. What are the Factors of 4073?
Answer: Factors of 4073 are 1, 4073. There are 2 integers that are factors of 4073. The greatest factor of 4073 is 4073.
3. What are the Factors of 4078?
Answer: Factors of 4078 are 1, 2, 2039, 4078. There are 4 integers that are factors of 4078. The greatest factor of 4078 is 4078.
4. How to Find the LCM of 4073 and 4078?
Answer:
Least Common Multiple of 4073 and 4078 = 16609694
Step 1: Find the prime factorization of 4073
4073 = 4073
Step 2: Find the prime factorization of 4078
4078 = 2 x 2039
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16609694 = 2 x 2039 x 4073
Step 4: Therefore, the least common multiple of 4073 and 4078 is 16609694.