Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2635 and 2642 the smallest integer that is 6961670 that is divisible by both numbers.
Least Common Multiple (LCM) of 2635 and 2642 is 6961670.
LCM(2635,2642) = 6961670
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 2635 and 2642. First we will calculate the prime factors of 2635 and 2642.
Prime Factorization of 2635
5 | 2635 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 2635 are 5, 17,31. Prime factorization of 2635 in exponential form is:
2635 = 51×171×311
Prime Factorization of 2642
2 | 2642 |
1321 | 1321 |
1 |
Prime factors of 2642 are 2,1321. Prime factorization of 2642 in exponential form is:
2642 = 21×13211
Now multiplying the highest exponent prime factors to calculate the LCM of 2635 and 2642.
LCM(2635,2642) = 21×51×171×311×13211
LCM(2635,2642) = 6961670
Factors of 2635
List of positive integer factors of 2635 that divides 2635 without a remainder.
1, 5, 17, 31, 85, 155, 527, 2635
Factors of 2642
List of positive integer factors of 2642 that divides 2642 without a remainder.
1, 2, 1321, 2642
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2635 and 2642, than apply into the LCM equation.
GCF(2635,2642) = 1
LCM(2635,2642) = ( 2635 × 2642) / 1
LCM(2635,2642) = 6961670 / 1
LCM(2635,2642) = 6961670
(i) The LCM of 2642 and 2635 is associative
LCM of 2635 and 2642 = LCM of 2642 and 2635
1. What is the LCM of 2635 and 2642?
Answer: LCM of 2635 and 2642 is 6961670.
2. What are the Factors of 2635?
Answer: Factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635. There are 8 integers that are factors of 2635. The greatest factor of 2635 is 2635.
3. What are the Factors of 2642?
Answer: Factors of 2642 are 1, 2, 1321, 2642. There are 4 integers that are factors of 2642. The greatest factor of 2642 is 2642.
4. How to Find the LCM of 2635 and 2642?
Answer:
Least Common Multiple of 2635 and 2642 = 6961670
Step 1: Find the prime factorization of 2635
2635 = 5 x 17 x 31
Step 2: Find the prime factorization of 2642
2642 = 2 x 1321
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6961670 = 2 x 5 x 17 x 31 x 1321
Step 4: Therefore, the least common multiple of 2635 and 2642 is 6961670.