LCM for 75 and 180
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What's the Least Common Multiple (LCM) of 75 and 180?
Answer
LCM of 75 and 180 is
900
First common multiples: 900; 1,800; 2,700; …
900 is divisible by both: 900 ÷ 75 = 12, 900 ÷ 180 = 5 — and 12 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 12 and of y/180 by 5.
75 = 3 × 52
180 = 22 × 32 × 5
| Prime | 75 | 180 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | 3 | 32 | 32 |
| 5 | 52 | 5 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 52 = 900
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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 | 165 | 825 |
| 75 | 166 | 12,450 |
| 75 | 167 | 12,525 |
| 75 | 168 | 4,200 |
| 75 | 169 | 12,675 |
| 75 | 170 | 2,550 |
| 75 | 171 | 4,275 |
| 75 | 172 | 12,900 |
| 75 | 173 | 12,975 |
| 75 | 174 | 4,350 |
| 75 | 175 | 525 |
| 75 | 176 | 13,200 |
| 75 | 177 | 4,425 |
| 75 | 178 | 13,350 |
| 75 | 179 | 13,425 |
| 75 | 180 | 900 |
| 75 | 181 | 13,575 |
| 75 | 182 | 13,650 |
| 75 | 183 | 4,575 |
| 75 | 184 | 13,800 |
| 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 |