LCM for 174 and 142
What's the Least Common Multiple (LCM) of 174 and 142?
(Twelve thousand, three hundred fifty-four)
Finding LCM for 174 and 142 using GCF's of these numbers
The first method to find LCM for numbers 174 and 142 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 174 and 142 is 2, so
LCM = (174 × 142) ÷ 2
LCM = 24708 ÷ 2
LCM = 12354
Finding LCM for 174 and 142 by Listing Multiples
The second method to find LCM for numbers 174 and 142 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 174: 174, 348, 522, 696, 870, 1044, 1218, 1392, 1566, 1740, 1914, 2088, 2262, 2436, 2610, 2784, 2958, 3132, 3306, 3480, 3654, 3828, 4002, 4176, 4350, 4524, 4698, 4872, 5046, 5220, 5394, 5568, 5742, 5916, 6090, 6264, 6438, 6612, 6786, 6960, 7134, 7308, 7482, 7656, 7830, 8004, 8178, 8352, 8526, 8700, 8874, 9048, 9222, 9396, 9570, 9744, 9918, 10092, 10266, 10440, 10614, 10788, 10962, 11136, 11310, 11484, 11658, 11832, 12006, 12180, 12354, 12528, 12702
Multiples of 142: 142, 284, 426, 568, 710, 852, 994, 1136, 1278, 1420, 1562, 1704, 1846, 1988, 2130, 2272, 2414, 2556, 2698, 2840, 2982, 3124, 3266, 3408, 3550, 3692, 3834, 3976, 4118, 4260, 4402, 4544, 4686, 4828, 4970, 5112, 5254, 5396, 5538, 5680, 5822, 5964, 6106, 6248, 6390, 6532, 6674, 6816, 6958, 7100, 7242, 7384, 7526, 7668, 7810, 7952, 8094, 8236, 8378, 8520, 8662, 8804, 8946, 9088, 9230, 9372, 9514, 9656, 9798, 9940, 10082, 10224, 10366, 10508, 10650, 10792, 10934, 11076, 11218, 11360, 11502, 11644, 11786, 11928, 12070, 12212, 12354, 12496, 12638
So the LCM for 174 and 142 is 12354
Finding LCM for 174 and 142 by Prime Factorization
Another method to find LCM for numbers 174 and 142 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 174: 2, 3, 29 (exponent form: 21, 31, 291)
All Prime Factors of 142: 2, 71 (exponent form: 21, 711)
21 × 31 × 291 × 711 = 12354
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/174--142">What is the LCM of 174 and 142? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 159 | 142 | 22578 |
| 160 | 142 | 11360 |
| 161 | 142 | 22862 |
| 162 | 142 | 11502 |
| 163 | 142 | 23146 |
| 164 | 142 | 11644 |
| 165 | 142 | 23430 |
| 166 | 142 | 11786 |
| 167 | 142 | 23714 |
| 168 | 142 | 11928 |
| 169 | 142 | 23998 |
| 170 | 142 | 12070 |
| 171 | 142 | 24282 |
| 172 | 142 | 12212 |
| 173 | 142 | 24566 |
| 174 | 142 | 12354 |
| 175 | 142 | 24850 |
| 176 | 142 | 12496 |
| 177 | 142 | 25134 |
| 178 | 142 | 12638 |
| 179 | 142 | 25418 |
| 180 | 142 | 12780 |
| 181 | 142 | 25702 |
| 182 | 142 | 12922 |
| 183 | 142 | 25986 |
| 184 | 142 | 13064 |
| 185 | 142 | 26270 |
| 186 | 142 | 13206 |
| 187 | 142 | 26554 |
| 188 | 142 | 13348 |
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