LCM for 54 and 180
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What's the Least Common Multiple (LCM) of 54 and 180?
Answer
LCM of 54 and 180 is
540
First common multiples: 540; 1,080; 1,620; …
540 is divisible by both: 540 ÷ 54 = 10, 540 ÷ 180 = 3 — and 10 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 10 and of y/180 by 3.
54 = 2 × 33
180 = 22 × 32 × 5
| Prime | 54 | 180 | Highest power |
|---|---|---|---|
| 2 | 2 | 22 | 22 |
| 3 | 33 | 32 | 33 |
| 5 | — | 5 | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 33 × 5 = 540
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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 |
|---|---|---|
| 54 | 165 | 2,970 |
| 54 | 166 | 4,482 |
| 54 | 167 | 9,018 |
| 54 | 168 | 1,512 |
| 54 | 169 | 9,126 |
| 54 | 170 | 4,590 |
| 54 | 171 | 1,026 |
| 54 | 172 | 4,644 |
| 54 | 173 | 9,342 |
| 54 | 174 | 1,566 |
| 54 | 175 | 9,450 |
| 54 | 176 | 4,752 |
| 54 | 177 | 3,186 |
| 54 | 178 | 4,806 |
| 54 | 179 | 9,666 |
| 54 | 180 | 540 |
| 54 | 181 | 9,774 |
| 54 | 182 | 4,914 |
| 54 | 183 | 3,294 |
| 54 | 184 | 4,968 |
| 54 | 185 | 9,990 |
| 54 | 186 | 1,674 |
| 54 | 187 | 10,098 |
| 54 | 188 | 5,076 |
| 54 | 189 | 378 |
| 54 | 190 | 5,130 |
| 54 | 191 | 10,314 |
| 54 | 192 | 1,728 |
| 54 | 193 | 10,422 |
| 54 | 194 | 5,238 |