Least Common Multiple of 108, 6750
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 108, 6750 i.e. 13500 smallest integer divisible by all numbers.
Least common multiple (LCM) of 108, 6750 is 13500.
LCM(108, 6750) = 13500
LCM of 108, 6750
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 108, 6750 by common division method
- Least Common Multiple of 108, 6750 with GCF Formula
Least Common Multiple (LCM) of 108,6750 is 13500
| 2 | 108, 6750 |
| 3 | 54, 3375 |
| 3 | 18, 1125 |
| 3 | 6, 375 |
| 2, 125 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 2 x 125 = 13500
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 108,6750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,6750) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(108,6750) x common factors =54 x 1 = 54
LCM(108,6750) = ( 108 × 6750 ) / 54
LCM(108,6750) = 729000 / 54
LCM(108,6750) = 13500
∴ Least Common Multiple of 108,6750 is 13500
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Frequently Asked Questions on LCM of 108, 6750
1. What is the LCM of 108, 6750?
Answer: LCM of 108, 6750 is 13500.
2. What are the Factors of 13500?
Answer: Factors of 13500 are . There are integers that are factors of 13500
3. How to Find the LCM of 108, 6750 ?
Least Common Multiple of 108, 6750.
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(108, 6750) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 = 13500.