LCM for 121 and 144
What's the Least Common Multiple (LCM) of 121 and 144?
Answer
(Seventeen thousand four hundred twenty-four)
Finding LCM for 121 and 144 using GCF of these numbers
The first method to find LCM for numbers 121 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 121 and 144 is 1, so
LCM = (121 × 144) ÷ 1
LCM = 17,424 ÷ 1
LCM = 17,424
Finding LCM for 121 and 144 by Listing Multiples
The second method to find LCM for numbers 121 and 144 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 121: 121, 242, 363, 484, 605, 726, 847, 968, 1,089, 1,210, 1,331, 1,452, 1,573, 1,694, 1,815, 1,936, 2,057, 2,178, 2,299, 2,420, 2,541, 2,662, 2,783, 2,904, 3,025, 3,146, 3,267, 3,388, 3,509, 3,630, 3,751, 3,872, 3,993, 4,114, 4,235, 4,356, 4,477, 4,598, 4,719, 4,840, 4,961, 5,082, 5,203, 5,324, 5,445, 5,566, 5,687, 5,808, 5,929, 6,050, 6,171, 6,292, 6,413, 6,534, 6,655, 6,776, 6,897, 7,018, 7,139, 7,260, 7,381, 7,502, 7,623, 7,744, 7,865, 7,986, 8,107, 8,228, 8,349, 8,470, 8,591, 8,712, 8,833, 8,954, 9,075, 9,196, 9,317, 9,438, 9,559, 9,680, 9,801, 9,922, 10,043, 10,164, 10,285, 10,406, 10,527, 10,648, 10,769, 10,890, 11,011, 11,132, 11,253, 11,374, 11,495, 11,616, 11,737, 11,858, 11,979, 12,100, 12,221, 12,342, 12,463, 12,584, 12,705, 12,826, 12,947, 13,068, 13,189, 13,310, 13,431, 13,552, 13,673, 13,794, 13,915, 14,036, 14,157, 14,278, 14,399, 14,520, 14,641, 14,762, 14,883, 15,004, 15,125, 15,246, 15,367, 15,488, 15,609, 15,730, 15,851, 15,972, 16,093, 16,214, 16,335, 16,456, 16,577, 16,698, 16,819, 16,940, 17,061, 17,182, 17,303, 17,424, 17,545, 17,666
Multiples of 144: 144, 288, 432, 576, 720, 864, 1,008, 1,152, 1,296, 1,440, 1,584, 1,728, 1,872, 2,016, 2,160, 2,304, 2,448, 2,592, 2,736, 2,880, 3,024, 3,168, 3,312, 3,456, 3,600, 3,744, 3,888, 4,032, 4,176, 4,320, 4,464, 4,608, 4,752, 4,896, 5,040, 5,184, 5,328, 5,472, 5,616, 5,760, 5,904, 6,048, 6,192, 6,336, 6,480, 6,624, 6,768, 6,912, 7,056, 7,200, 7,344, 7,488, 7,632, 7,776, 7,920, 8,064, 8,208, 8,352, 8,496, 8,640, 8,784, 8,928, 9,072, 9,216, 9,360, 9,504, 9,648, 9,792, 9,936, 10,080, 10,224, 10,368, 10,512, 10,656, 10,800, 10,944, 11,088, 11,232, 11,376, 11,520, 11,664, 11,808, 11,952, 12,096, 12,240, 12,384, 12,528, 12,672, 12,816, 12,960, 13,104, 13,248, 13,392, 13,536, 13,680, 13,824, 13,968, 14,112, 14,256, 14,400, 14,544, 14,688, 14,832, 14,976, 15,120, 15,264, 15,408, 15,552, 15,696, 15,840, 15,984, 16,128, 16,272, 16,416, 16,560, 16,704, 16,848, 16,992, 17,136, 17,280, 17,424, 17,568, 17,712
So the LCM for 121 and 144 is 17,424
Finding LCM for 121 and 144 by Prime Factorization
Another method to find LCM for numbers 121 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 121: 11, 11 (exponent form: 112)
All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)
112 × 24 × 32 = 17,424
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers

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 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers