LCM for 49 and 121
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What's the Least Common Multiple (LCM) of 49 and 121?
Answer
LCM of 49 and 121 is
5,929
First common multiples: 5,929; 11,858; 17,787; …
5,929 is divisible by both: 5,929 ÷ 49 = 121; 5,929 ÷ 121 = 49 — and 121 and 49 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/49 by 121 and of y/121 by 49.
49 and 121 are coprime (GCF = 1), so their LCM is simply the product: 49 × 121 = 5,929.
49 = 72
121 = 112
| Prime | 49 | 121 | Highest power |
|---|---|---|---|
| 7 | 72 | — | 72 |
| 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 = 72 × 112 = 5,929
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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 |
|---|---|---|
| 49 | 106 | 5,194 |
| 49 | 107 | 5,243 |
| 49 | 108 | 5,292 |
| 49 | 109 | 5,341 |
| 49 | 110 | 5,390 |
| 49 | 111 | 5,439 |
| 49 | 112 | 784 |
| 49 | 113 | 5,537 |
| 49 | 114 | 5,586 |
| 49 | 115 | 5,635 |
| 49 | 116 | 5,684 |
| 49 | 117 | 5,733 |
| 49 | 118 | 5,782 |
| 49 | 119 | 833 |
| 49 | 120 | 5,880 |
| 49 | 121 | 5,929 |
| 49 | 122 | 5,978 |
| 49 | 123 | 6,027 |
| 49 | 124 | 6,076 |
| 49 | 125 | 6,125 |
| 49 | 126 | 882 |
| 49 | 127 | 6,223 |
| 49 | 128 | 6,272 |
| 49 | 129 | 6,321 |
| 49 | 130 | 6,370 |
| 49 | 131 | 6,419 |
| 49 | 132 | 6,468 |
| 49 | 133 | 931 |
| 49 | 134 | 6,566 |
| 49 | 135 | 6,615 |