LCM for 60 and 535
What's the Least Common Multiple (LCM) of 60 and 535?
(Six thousand, four hundred twenty)
Finding LCM for 60 and 535 using GCF's of these numbers
The first method to find LCM for numbers 60 and 535 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 60 and 535 is 5, so
LCM = (60 × 535) ÷ 5
LCM = 32100 ÷ 5
LCM = 6420
Finding LCM for 60 and 535 by Listing Multiples
The second method to find LCM for numbers 60 and 535 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060, 3120, 3180, 3240, 3300, 3360, 3420, 3480, 3540, 3600, 3660, 3720, 3780, 3840, 3900, 3960, 4020, 4080, 4140, 4200, 4260, 4320, 4380, 4440, 4500, 4560, 4620, 4680, 4740, 4800, 4860, 4920, 4980, 5040, 5100, 5160, 5220, 5280, 5340, 5400, 5460, 5520, 5580, 5640, 5700, 5760, 5820, 5880, 5940, 6000, 6060, 6120, 6180, 6240, 6300, 6360, 6420, 6480, 6540
Multiples of 535: 535, 1070, 1605, 2140, 2675, 3210, 3745, 4280, 4815, 5350, 5885, 6420, 6955, 7490
So the LCM for 60 and 535 is 6420
Finding LCM for 60 and 535 by Prime Factorization
Another method to find LCM for numbers 60 and 535 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
All Prime Factors of 535: 5, 107 (exponent form: 51, 1071)
22 × 31 × 51 × 1071 = 6420
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/60--535">What is the LCM of 60 and 535? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 45 | 535 | 4815 |
| 46 | 535 | 24610 |
| 47 | 535 | 25145 |
| 48 | 535 | 25680 |
| 49 | 535 | 26215 |
| 50 | 535 | 5350 |
| 51 | 535 | 27285 |
| 52 | 535 | 27820 |
| 53 | 535 | 28355 |
| 54 | 535 | 28890 |
| 55 | 535 | 5885 |
| 56 | 535 | 29960 |
| 57 | 535 | 30495 |
| 58 | 535 | 31030 |
| 59 | 535 | 31565 |
| 60 | 535 | 6420 |
| 61 | 535 | 32635 |
| 62 | 535 | 33170 |
| 63 | 535 | 33705 |
| 64 | 535 | 34240 |
| 65 | 535 | 6955 |
| 66 | 535 | 35310 |
| 67 | 535 | 35845 |
| 68 | 535 | 36380 |
| 69 | 535 | 36915 |
| 70 | 535 | 7490 |
| 71 | 535 | 37985 |
| 72 | 535 | 38520 |
| 73 | 535 | 39055 |
| 74 | 535 | 39590 |
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