LCM for 64 and 121
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What's the Least Common Multiple (LCM) of 64 and 121?
Answer
LCM of 64 and 121 is
7,744
First common multiples: 7,744; 15,488; 23,232; …
7,744 is divisible by both: 7,744 ÷ 64 = 121; 7,744 ÷ 121 = 64 — and 121 and 64 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/64 by 121 and of y/121 by 64.
64 and 121 are coprime (GCF = 1), so their LCM is simply the product: 64 × 121 = 7,744.
64 = 26
121 = 112
| Prime | 64 | 121 | Highest power |
|---|---|---|---|
| 2 | 26 | — | 26 |
| 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 = 26 × 112 = 7,744
More with these numbers
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
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 64 | 106 | 3,392 |
| 64 | 107 | 6,848 |
| 64 | 108 | 1,728 |
| 64 | 109 | 6,976 |
| 64 | 110 | 3,520 |
| 64 | 111 | 7,104 |
| 64 | 112 | 448 |
| 64 | 113 | 7,232 |
| 64 | 114 | 3,648 |
| 64 | 115 | 7,360 |
| 64 | 116 | 1,856 |
| 64 | 117 | 7,488 |
| 64 | 118 | 3,776 |
| 64 | 119 | 7,616 |
| 64 | 120 | 960 |
| 64 | 121 | 7,744 |
| 64 | 122 | 3,904 |
| 64 | 123 | 7,872 |
| 64 | 124 | 1,984 |
| 64 | 125 | 8,000 |
| 64 | 126 | 4,032 |
| 64 | 127 | 8,128 |
| 64 | 128 | 128 |
| 64 | 129 | 8,256 |
| 64 | 130 | 4,160 |
| 64 | 131 | 8,384 |
| 64 | 132 | 2,112 |
| 64 | 133 | 8,512 |
| 64 | 134 | 4,288 |
| 64 | 135 | 8,640 |
FAQ
What's the Least Common Multiple (LCM) of 64 and 121?
LCM of 64 and 121 is 7,744
How to find the LCM of 64 and 121 using prime factorization?
To find the LCM of 64 and 121, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 7,744.
What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 64 and 121: LCM = 7,744, GCF = 1.
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