Least Common Multiple of 2175, 2775
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 2175, 2775 i.e. 80475 smallest integer divisible by all numbers.
Least common multiple (LCM) of 2175, 2775 is 80475.
LCM(2175, 2775) = 80475
LCM of 2175, 2775
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 2175, 2775 by common division method
- Least Common Multiple of 2175, 2775 with GCF Formula
Least Common Multiple (LCM) of 2175,2775 is 80475
| 3 | 2175, 2775 |
| 5 | 725, 925 |
| 5 | 145, 185 |
| 29, 37 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 29 x 37 = 80475
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 2175,2775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2175,2775) = 75
common factors(in case of two or more numbers have common factors) = 1
GCF(2175,2775) x common factors =75 x 1 = 75
LCM(2175,2775) = ( 2175 × 2775 ) / 75
LCM(2175,2775) = 6035625 / 75
LCM(2175,2775) = 80475
∴ Least Common Multiple of 2175,2775 is 80475
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Frequently Asked Questions on LCM of 2175, 2775
1. What is the LCM of 2175, 2775?
Answer: LCM of 2175, 2775 is 80475.
2. What are the Factors of 80475?
Answer: Factors of 80475 are . There are integers that are factors of 80475
3. How to Find the LCM of 2175, 2775 ?
Least Common Multiple of 2175, 2775.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(2175, 2775) = 3 x 5 x 5 x 29 x 37 = 80475.