Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2776 and 2780 the smallest integer that is 1929320 that is divisible by both numbers.
Least Common Multiple (LCM) of 2776 and 2780 is 1929320.
LCM(2776,2780) = 1929320
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 2776 and 2780. First we will calculate the prime factors of 2776 and 2780.
Prime Factorization of 2776
2 | 2776 |
2 | 1388 |
2 | 694 |
347 | 347 |
1 |
Prime factors of 2776 are 2,347. Prime factorization of 2776 in exponential form is:
2776 = 23×3471
Prime Factorization of 2780
2 | 2780 |
2 | 1390 |
5 | 695 |
139 | 139 |
1 |
Prime factors of 2780 are 2, 5,139. Prime factorization of 2780 in exponential form is:
2780 = 22×51×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 2776 and 2780.
LCM(2776,2780) = 23×51×1391×3471
LCM(2776,2780) = 1929320
Factors of 2776
List of positive integer factors of 2776 that divides 2776 without a remainder.
1, 2, 4, 8, 347, 694, 1388, 2776
Factors of 2780
List of positive integer factors of 2780 that divides 2780 without a remainder.
1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390, 2780
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2776 and 2780, than apply into the LCM equation.
GCF(2776,2780) = 4
LCM(2776,2780) = ( 2776 × 2780) / 4
LCM(2776,2780) = 7717280 / 4
LCM(2776,2780) = 1929320
(i) The LCM of 2780 and 2776 is associative
LCM of 2776 and 2780 = LCM of 2780 and 2776
1. What is the LCM of 2776 and 2780?
Answer: LCM of 2776 and 2780 is 1929320.
2. What are the Factors of 2776?
Answer: Factors of 2776 are 1, 2, 4, 8, 347, 694, 1388, 2776. There are 8 integers that are factors of 2776. The greatest factor of 2776 is 2776.
3. What are the Factors of 2780?
Answer: Factors of 2780 are 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390, 2780. There are 12 integers that are factors of 2780. The greatest factor of 2780 is 2780.
4. How to Find the LCM of 2776 and 2780?
Answer:
Least Common Multiple of 2776 and 2780 = 1929320
Step 1: Find the prime factorization of 2776
2776 = 2 x 2 x 2 x 347
Step 2: Find the prime factorization of 2780
2780 = 2 x 2 x 5 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1929320 = 2 x 2 x 2 x 5 x 139 x 347
Step 4: Therefore, the least common multiple of 2776 and 2780 is 1929320.