LCM for 75 and 200
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What's the Least Common Multiple (LCM) of 75 and 200?
Answer
LCM of 75 and 200 is
600
First common multiples: 600; 1,200; 1,800; …
600 is divisible by both: 600 ÷ 75 = 8, 600 ÷ 200 = 3 — and 8 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 8 and of y/200 by 3.
75 = 3 × 52
200 = 23 × 52
| Prime | 75 | 200 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 3 | 3 | — | 3 |
| 5 | 52 | 52 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 3 × 52 = 600
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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
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 75 | 185 | 2,775 |
| 75 | 186 | 4,650 |
| 75 | 187 | 14,025 |
| 75 | 188 | 14,100 |
| 75 | 189 | 4,725 |
| 75 | 190 | 2,850 |
| 75 | 191 | 14,325 |
| 75 | 192 | 4,800 |
| 75 | 193 | 14,475 |
| 75 | 194 | 14,550 |
| 75 | 195 | 975 |
| 75 | 196 | 14,700 |
| 75 | 197 | 14,775 |
| 75 | 198 | 4,950 |
| 75 | 199 | 14,925 |
| 75 | 200 | 600 |
| 75 | 201 | 5,025 |
| 75 | 202 | 15,150 |
| 75 | 203 | 15,225 |
| 75 | 204 | 5,100 |
| 75 | 205 | 3,075 |
| 75 | 206 | 15,450 |
| 75 | 207 | 5,175 |
| 75 | 208 | 15,600 |
| 75 | 209 | 15,675 |
| 75 | 210 | 1,050 |
| 75 | 211 | 15,825 |
| 75 | 212 | 15,900 |
| 75 | 213 | 5,325 |
| 75 | 214 | 16,050 |