Least Common Multiple of 1395, 1170
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 1395, 1170 i.e. 36270 smallest integer divisible by all numbers.
Least common multiple (LCM) of 1395, 1170 is 36270.
LCM(1395, 1170) = 36270
LCM of 1395, 1170
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 1395, 1170 by common division method
- Least Common Multiple of 1395, 1170 with GCF Formula
Least Common Multiple (LCM) of 1395,1170 is 36270
| 3 | 1395, 1170 |
| 3 | 465, 390 |
| 5 | 155, 130 |
| 31, 26 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 31 x 26 = 36270
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 1395,1170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1395,1170) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(1395,1170) x common factors =45 x 1 = 45
LCM(1395,1170) = ( 1395 × 1170 ) / 45
LCM(1395,1170) = 1632150 / 45
LCM(1395,1170) = 36270
∴ Least Common Multiple of 1395,1170 is 36270
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Frequently Asked Questions on LCM of 1395, 1170
1. What is the LCM of 1395, 1170?
Answer: LCM of 1395, 1170 is 36270.
2. What are the Factors of 36270?
Answer: Factors of 36270 are . There are integers that are factors of 36270
3. How to Find the LCM of 1395, 1170 ?
Least Common Multiple of 1395, 1170.
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(1395, 1170) = 2 x 3 x 3 x 5 x 13 x 31 = 36270.