LCM for 121 and 144
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What's the Least Common Multiple (LCM) of 121 and 144?
Answer
LCM of 121 and 144 is
17,424
First common multiples: 17,424; 34,848; 52,272; …
17,424 is divisible by both: 17,424 ÷ 121 = 144; 17,424 ÷ 144 = 121 — and 144 and 121 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/121 by 144 and of y/144 by 121.
121 and 144 are coprime (GCF = 1), so their LCM is simply the product: 121 × 144 = 17,424.
121 = 112
144 = 24 × 32
| Prime | 121 | 144 | Highest power |
|---|---|---|---|
| 2 | — | 24 | 24 |
| 3 | — | 32 | 32 |
| 11 | 112 | — | 112 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 32 × 112 = 17,424
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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 |
|---|---|---|
| 121 | 129 | 15,609 |
| 121 | 130 | 15,730 |
| 121 | 131 | 15,851 |
| 121 | 132 | 1,452 |
| 121 | 133 | 16,093 |
| 121 | 134 | 16,214 |
| 121 | 135 | 16,335 |
| 121 | 136 | 16,456 |
| 121 | 137 | 16,577 |
| 121 | 138 | 16,698 |
| 121 | 139 | 16,819 |
| 121 | 140 | 16,940 |
| 121 | 141 | 17,061 |
| 121 | 142 | 17,182 |
| 121 | 143 | 1,573 |
| 121 | 144 | 17,424 |
| 121 | 145 | 17,545 |
| 121 | 146 | 17,666 |
| 121 | 147 | 17,787 |
| 121 | 148 | 17,908 |
| 121 | 149 | 18,029 |
| 121 | 150 | 18,150 |
| 121 | 151 | 18,271 |
| 121 | 152 | 18,392 |
| 121 | 153 | 18,513 |
| 121 | 154 | 1,694 |
| 121 | 155 | 18,755 |
| 121 | 156 | 18,876 |
| 121 | 157 | 18,997 |
| 121 | 158 | 19,118 |