LCM for 15 and 147
What's the Least Common Multiple (LCM) of 15 and 147?
(Seven hundred thirty-five)
Finding LCM for 15 and 147 using GCF's of these numbers
The first method to find LCM for numbers 15 and 147 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 15 and 147 is 3, so
LCM = (15 × 147) ÷ 3
LCM = 2205 ÷ 3
LCM = 735
Finding LCM for 15 and 147 by Listing Multiples
The second method to find LCM for numbers 15 and 147 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765
Multiples of 147: 147, 294, 441, 588, 735, 882, 1029
So the LCM for 15 and 147 is 735
Finding LCM for 15 and 147 by Prime Factorization
Another method to find LCM for numbers 15 and 147 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 15: 3, 5 (exponent form: 31, 51)
All Prime Factors of 147: 3, 7, 7 (exponent form: 31, 72)
31 × 51 × 72 = 735
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/15--147">What is the LCM of 15 and 147? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 147 | 147 |
| 2 | 147 | 294 |
| 3 | 147 | 147 |
| 4 | 147 | 588 |
| 5 | 147 | 735 |
| 6 | 147 | 294 |
| 7 | 147 | 147 |
| 8 | 147 | 1176 |
| 9 | 147 | 441 |
| 10 | 147 | 1470 |
| 11 | 147 | 1617 |
| 12 | 147 | 588 |
| 13 | 147 | 1911 |
| 14 | 147 | 294 |
| 15 | 147 | 735 |
| 16 | 147 | 2352 |
| 17 | 147 | 2499 |
| 18 | 147 | 882 |
| 19 | 147 | 2793 |
| 20 | 147 | 2940 |
| 21 | 147 | 147 |
| 22 | 147 | 3234 |
| 23 | 147 | 3381 |
| 24 | 147 | 1176 |
| 25 | 147 | 3675 |
| 26 | 147 | 3822 |
| 27 | 147 | 1323 |
| 28 | 147 | 588 |
| 29 | 147 | 4263 |
| 30 | 147 | 1470 |
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