Least Common Multiple of 3662 and 3667
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3662 and 3667 the smallest integer that is 13428554 that is divisible by both numbers.
Least Common Multiple (LCM) of 3662 and 3667 is 13428554.
LCM(3662,3667) = 13428554
LCM of 3662 and 3667
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3662 and 3667 by Prime method
- Least Common Multiple of 3662 and 3667 with GCF Formula
LCM of 3662 and 3667 is 13428554
Least common multiple can be found by multiplying the highest exponent prime factors of 3662 and 3667. First we will calculate the prime factors of 3662 and 3667.
Prime Factorization of 3662
| 2 | 3662 |
| 1831 | 1831 |
| 1 |
Prime factors of 3662 are 2,1831. Prime factorization of 3662 in exponential form is:
3662 = 21×18311
Prime Factorization of 3667
| 19 | 3667 |
| 193 | 193 |
| 1 |
Prime factors of 3667 are 19,193. Prime factorization of 3667 in exponential form is:
3667 = 191×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 3662 and 3667.
LCM(3662,3667) = 21×191×1931×18311
LCM(3662,3667) = 13428554
Factors of 3662
List of positive integer factors of 3662 that divides 3662 without a remainder.
1, 2, 1831, 3662
Factors of 3667
List of positive integer factors of 3667 that divides 3667 without a remainder.
1, 19, 193, 3667
Least Common Multiple of 3662 and 3667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3662 and 3667, than apply into the LCM equation.
GCF(3662,3667) = 1
LCM(3662,3667) = ( 3662 × 3667) / 1
LCM(3662,3667) = 13428554 / 1
LCM(3662,3667) = 13428554
Properties of LCM 3662 and 3667
(i) The LCM of 3667 and 3662 is associative
LCM of 3662 and 3667 = LCM of 3667 and 3662
Related Least Common Multiples of 3662
Related Least Common Multiples of 3667
Frequently Asked Questions on LCM of 3662 and 3667
1. What is the LCM of 3662 and 3667?
Answer: LCM of 3662 and 3667 is 13428554.
2. What are the Factors of 3662?
Answer: Factors of 3662 are 1, 2, 1831, 3662. There are 4 integers that are factors of 3662. The greatest factor of 3662 is 3662.
3. What are the Factors of 3667?
Answer: Factors of 3667 are 1, 19, 193, 3667. There are 4 integers that are factors of 3667. The greatest factor of 3667 is 3667.
4. How to Find the LCM of 3662 and 3667?
Answer:
Least Common Multiple of 3662 and 3667 = 13428554
Step 1: Find the prime factorization of 3662
3662 = 2 x 1831
Step 2: Find the prime factorization of 3667
3667 = 19 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13428554 = 2 x 19 x 193 x 1831
Step 4: Therefore, the least common multiple of 3662 and 3667 is 13428554.