LCM for 125 and 165
What's the Least Common Multiple (LCM) of 125 and 165?
Answer
(Four thousand one hundred twenty-five)
Finding LCM for 125 and 165 using GCF of these numbers
The first method to find LCM for numbers 125 and 165 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 125 and 165 is 5, so
LCM = (125 × 165) ÷ 5
LCM = 20,625 ÷ 5
LCM = 4,125
Finding LCM for 125 and 165 by Listing Multiples
The second method to find LCM for numbers 125 and 165 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 125: 125, 250, 375, 500, 625, 750, 875, 1000, 1125, 1250, 1375, 1500, 1625, 1750, 1875, 2000, 2125, 2250, 2375, 2500, 2625, 2750, 2875, 3000, 3125, 3250, 3375, 3500, 3625, 3750, 3875, 4000, 4125, 4250, 4375
Multiples of 165: 165, 330, 495, 660, 825, 990, 1155, 1320, 1485, 1650, 1815, 1980, 2145, 2310, 2475, 2640, 2805, 2970, 3135, 3300, 3465, 3630, 3795, 3960, 4125, 4290, 4455
So the LCM for 125 and 165 is 4,125
Finding LCM for 125 and 165 by Prime Factorization
Another method to find LCM for numbers 125 and 165 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 125: 5, 5, 5 (exponent form: 53)
All Prime Factors of 165: 3, 5, 11 (exponent form: 31, 51, 111)
53 × 31 × 111 = 4,125
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 125 | 150 | 750 |
| 125 | 151 | 18,875 |
| 125 | 152 | 19,000 |
| 125 | 153 | 19,125 |
| 125 | 154 | 19,250 |
| 125 | 155 | 3,875 |
| 125 | 156 | 19,500 |
| 125 | 157 | 19,625 |
| 125 | 158 | 19,750 |
| 125 | 159 | 19,875 |
| 125 | 160 | 4,000 |
| 125 | 161 | 20,125 |
| 125 | 162 | 20,250 |
| 125 | 163 | 20,375 |
| 125 | 164 | 20,500 |
| 125 | 165 | 4,125 |
| 125 | 166 | 20,750 |
| 125 | 167 | 20,875 |
| 125 | 168 | 21,000 |
| 125 | 169 | 21,125 |
| 125 | 170 | 4,250 |
| 125 | 171 | 21,375 |
| 125 | 172 | 21,500 |
| 125 | 173 | 21,625 |
| 125 | 174 | 21,750 |
| 125 | 175 | 875 |
| 125 | 176 | 22,000 |
| 125 | 177 | 22,125 |
| 125 | 178 | 22,250 |
| 125 | 179 | 22,375 |
FAQ
What's the Least Common Multiple (LCM) of 125 and 165?
How to find the LCM of 125 and 165 using prime factorization?
What is the difference between LCM and GCF?
See Also
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