Least Common Multiple of 7599 and 7607
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7599 and 7607 the smallest integer that is 57805593 that is divisible by both numbers.
Least Common Multiple (LCM) of 7599 and 7607 is 57805593.
LCM(7599,7607) = 57805593
LCM of 7599 and 7607
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7599 and 7607 by Prime method
- Least Common Multiple of 7599 and 7607 with GCF Formula
LCM of 7599 and 7607 is 57805593
Least common multiple can be found by multiplying the highest exponent prime factors of 7599 and 7607. First we will calculate the prime factors of 7599 and 7607.
Prime Factorization of 7599
| 3 | 7599 |
| 17 | 2533 |
| 149 | 149 |
| 1 |
Prime factors of 7599 are 3, 17,149. Prime factorization of 7599 in exponential form is:
7599 = 31×171×1491
Prime Factorization of 7607
| 7607 | 7607 |
| 1 |
Prime factors of 7607 are 7607. Prime factorization of 7607 in exponential form is:
7607 = 76071
Now multiplying the highest exponent prime factors to calculate the LCM of 7599 and 7607.
LCM(7599,7607) = 31×171×1491×76071
LCM(7599,7607) = 57805593
Factors of 7599
List of positive integer factors of 7599 that divides 7599 without a remainder.
1, 3, 17, 51, 149, 447, 2533, 7599
Factors of 7607
List of positive integer factors of 7607 that divides 7607 without a remainder.
1, 7607
Least Common Multiple of 7599 and 7607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7599 and 7607, than apply into the LCM equation.
GCF(7599,7607) = 1
LCM(7599,7607) = ( 7599 × 7607) / 1
LCM(7599,7607) = 57805593 / 1
LCM(7599,7607) = 57805593
Properties of LCM 7599 and 7607
(i) The LCM of 7607 and 7599 is associative
LCM of 7599 and 7607 = LCM of 7607 and 7599
Related Least Common Multiples of 7599
Related Least Common Multiples of 7607
Frequently Asked Questions on LCM of 7599 and 7607
1. What is the LCM of 7599 and 7607?
Answer: LCM of 7599 and 7607 is 57805593.
2. What are the Factors of 7599?
Answer: Factors of 7599 are 1, 3, 17, 51, 149, 447, 2533, 7599. There are 8 integers that are factors of 7599. The greatest factor of 7599 is 7599.
3. What are the Factors of 7607?
Answer: Factors of 7607 are 1, 7607. There are 2 integers that are factors of 7607. The greatest factor of 7607 is 7607.
4. How to Find the LCM of 7599 and 7607?
Answer:
Least Common Multiple of 7599 and 7607 = 57805593
Step 1: Find the prime factorization of 7599
7599 = 3 x 17 x 149
Step 2: Find the prime factorization of 7607
7607 = 7607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57805593 = 3 x 17 x 149 x 7607
Step 4: Therefore, the least common multiple of 7599 and 7607 is 57805593.