Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2722 and 2727 the smallest integer that is 7422894 that is divisible by both numbers.
Least Common Multiple (LCM) of 2722 and 2727 is 7422894.
LCM(2722,2727) = 7422894
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 2722 and 2727. First we will calculate the prime factors of 2722 and 2727.
Prime Factorization of 2722
2 | 2722 |
1361 | 1361 |
1 |
Prime factors of 2722 are 2,1361. Prime factorization of 2722 in exponential form is:
2722 = 21×13611
Prime Factorization of 2727
3 | 2727 |
3 | 909 |
3 | 303 |
101 | 101 |
1 |
Prime factors of 2727 are 3,101. Prime factorization of 2727 in exponential form is:
2727 = 33×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 2722 and 2727.
LCM(2722,2727) = 21×33×1011×13611
LCM(2722,2727) = 7422894
Factors of 2722
List of positive integer factors of 2722 that divides 2722 without a remainder.
1, 2, 1361, 2722
Factors of 2727
List of positive integer factors of 2727 that divides 2727 without a remainder.
1, 3, 9, 27, 101, 303, 909, 2727
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2722 and 2727, than apply into the LCM equation.
GCF(2722,2727) = 1
LCM(2722,2727) = ( 2722 × 2727) / 1
LCM(2722,2727) = 7422894 / 1
LCM(2722,2727) = 7422894
(i) The LCM of 2727 and 2722 is associative
LCM of 2722 and 2727 = LCM of 2727 and 2722
1. What is the LCM of 2722 and 2727?
Answer: LCM of 2722 and 2727 is 7422894.
2. What are the Factors of 2722?
Answer: Factors of 2722 are 1, 2, 1361, 2722. There are 4 integers that are factors of 2722. The greatest factor of 2722 is 2722.
3. What are the Factors of 2727?
Answer: Factors of 2727 are 1, 3, 9, 27, 101, 303, 909, 2727. There are 8 integers that are factors of 2727. The greatest factor of 2727 is 2727.
4. How to Find the LCM of 2722 and 2727?
Answer:
Least Common Multiple of 2722 and 2727 = 7422894
Step 1: Find the prime factorization of 2722
2722 = 2 x 1361
Step 2: Find the prime factorization of 2727
2727 = 3 x 3 x 3 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7422894 = 2 x 3 x 3 x 3 x 101 x 1361
Step 4: Therefore, the least common multiple of 2722 and 2727 is 7422894.