LCM for 200 and 300
What's the Least Common Multiple (LCM) of 200 and 300?
(Six hundred)
Finding LCM for 200 and 300 using GCF's of these numbers
The first method to find LCM for numbers 200 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 200 and 300 is 100, so
LCM = (200 × 300) ÷ 100
LCM = 60000 ÷ 100
LCM = 600
Finding LCM for 200 and 300 by Listing Multiples
The second method to find LCM for numbers 200 and 300 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 200: 200, 400, 600, 800, 1000
Multiples of 300: 300, 600, 900, 1200
So the LCM for 200 and 300 is 600
Finding LCM for 200 and 300 by Prime Factorization
Another method to find LCM for numbers 200 and 300 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)
All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)
23 × 52 × 31 = 600
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/200--300">What is the LCM of 200 and 300? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 185 | 300 | 11100 |
| 186 | 300 | 9300 |
| 187 | 300 | 56100 |
| 188 | 300 | 14100 |
| 189 | 300 | 18900 |
| 190 | 300 | 5700 |
| 191 | 300 | 57300 |
| 192 | 300 | 4800 |
| 193 | 300 | 57900 |
| 194 | 300 | 29100 |
| 195 | 300 | 3900 |
| 196 | 300 | 14700 |
| 197 | 300 | 59100 |
| 198 | 300 | 9900 |
| 199 | 300 | 59700 |
| 200 | 300 | 600 |
| 201 | 300 | 20100 |
| 202 | 300 | 30300 |
| 203 | 300 | 60900 |
| 204 | 300 | 5100 |
| 205 | 300 | 12300 |
| 206 | 300 | 30900 |
| 207 | 300 | 20700 |
| 208 | 300 | 15600 |
| 209 | 300 | 62700 |
| 210 | 300 | 2100 |
| 211 | 300 | 63300 |
| 212 | 300 | 15900 |
| 213 | 300 | 21300 |
| 214 | 300 | 32100 |
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