LCM for 104 and 156
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 104 and 156?
Answer
LCM of 104 and 156 is
312
First common multiples: 312, 624, 936, …
312 is divisible by both: 312 ÷ 104 = 3, 312 ÷ 156 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/104 by 3 and of y/156 by 2.
104 = 23 × 13
156 = 22 × 3 × 13
| Prime | 104 | 156 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 3 | — | 3 | 3 |
| 13 | 13 | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 3 × 13 = 312
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 |
|---|---|---|
| 104 | 141 | 14,664 |
| 104 | 142 | 7,384 |
| 104 | 143 | 1,144 |
| 104 | 144 | 1,872 |
| 104 | 145 | 15,080 |
| 104 | 146 | 7,592 |
| 104 | 147 | 15,288 |
| 104 | 148 | 3,848 |
| 104 | 149 | 15,496 |
| 104 | 150 | 7,800 |
| 104 | 151 | 15,704 |
| 104 | 152 | 1,976 |
| 104 | 153 | 15,912 |
| 104 | 154 | 8,008 |
| 104 | 155 | 16,120 |
| 104 | 156 | 312 |
| 104 | 157 | 16,328 |
| 104 | 158 | 8,216 |
| 104 | 159 | 16,536 |
| 104 | 160 | 2,080 |
| 104 | 161 | 16,744 |
| 104 | 162 | 8,424 |
| 104 | 163 | 16,952 |
| 104 | 164 | 4,264 |
| 104 | 165 | 17,160 |
| 104 | 166 | 8,632 |
| 104 | 167 | 17,368 |
| 104 | 168 | 2,184 |
| 104 | 169 | 1,352 |
| 104 | 170 | 8,840 |
FAQ
What's the Least Common Multiple (LCM) of 104 and 156?
LCM of 104 and 156 is 312
How to find the LCM of 104 and 156 using prime factorization?
To find the LCM of 104 and 156, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 312.
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 104 and 156: LCM = 312, GCF = 52.
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