Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2666 and 2670 the smallest integer that is 3559110 that is divisible by both numbers.
Least Common Multiple (LCM) of 2666 and 2670 is 3559110.
LCM(2666,2670) = 3559110
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 2666 and 2670. First we will calculate the prime factors of 2666 and 2670.
Prime Factorization of 2666
2 | 2666 |
31 | 1333 |
43 | 43 |
1 |
Prime factors of 2666 are 2, 31,43. Prime factorization of 2666 in exponential form is:
2666 = 21×311×431
Prime Factorization of 2670
2 | 2670 |
3 | 1335 |
5 | 445 |
89 | 89 |
1 |
Prime factors of 2670 are 2, 3, 5,89. Prime factorization of 2670 in exponential form is:
2670 = 21×31×51×891
Now multiplying the highest exponent prime factors to calculate the LCM of 2666 and 2670.
LCM(2666,2670) = 21×31×51×311×431×891
LCM(2666,2670) = 3559110
Factors of 2666
List of positive integer factors of 2666 that divides 2666 without a remainder.
1, 2, 31, 43, 62, 86, 1333, 2666
Factors of 2670
List of positive integer factors of 2670 that divides 2670 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2666 and 2670, than apply into the LCM equation.
GCF(2666,2670) = 2
LCM(2666,2670) = ( 2666 × 2670) / 2
LCM(2666,2670) = 7118220 / 2
LCM(2666,2670) = 3559110
(i) The LCM of 2670 and 2666 is associative
LCM of 2666 and 2670 = LCM of 2670 and 2666
1. What is the LCM of 2666 and 2670?
Answer: LCM of 2666 and 2670 is 3559110.
2. What are the Factors of 2666?
Answer: Factors of 2666 are 1, 2, 31, 43, 62, 86, 1333, 2666. There are 8 integers that are factors of 2666. The greatest factor of 2666 is 2666.
3. What are the Factors of 2670?
Answer: Factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670. There are 16 integers that are factors of 2670. The greatest factor of 2670 is 2670.
4. How to Find the LCM of 2666 and 2670?
Answer:
Least Common Multiple of 2666 and 2670 = 3559110
Step 1: Find the prime factorization of 2666
2666 = 2 x 31 x 43
Step 2: Find the prime factorization of 2670
2670 = 2 x 3 x 5 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3559110 = 2 x 3 x 5 x 31 x 43 x 89
Step 4: Therefore, the least common multiple of 2666 and 2670 is 3559110.