LCM for 50 and 825
What's the Least Common Multiple (LCM) of 50 and 825?
(One thousand, six hundred fifty)
Finding LCM for 50 and 825 using GCF's of these numbers
The first method to find LCM for numbers 50 and 825 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 50 and 825 is 25, so
LCM = (50 × 825) ÷ 25
LCM = 41250 ÷ 25
LCM = 1650
Finding LCM for 50 and 825 by Listing Multiples
The second method to find LCM for numbers 50 and 825 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 1050, 1100, 1150, 1200, 1250, 1300, 1350, 1400, 1450, 1500, 1550, 1600, 1650, 1700, 1750
Multiples of 825: 825, 1650, 2475, 3300
So the LCM for 50 and 825 is 1650
Finding LCM for 50 and 825 by Prime Factorization
Another method to find LCM for numbers 50 and 825 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)
All Prime Factors of 825: 3, 5, 5, 11 (exponent form: 31, 52, 111)
21 × 52 × 31 × 111 = 1650
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/50--825">What is the LCM of 50 and 825? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 35 | 825 | 5775 |
| 36 | 825 | 9900 |
| 37 | 825 | 30525 |
| 38 | 825 | 31350 |
| 39 | 825 | 10725 |
| 40 | 825 | 6600 |
| 41 | 825 | 33825 |
| 42 | 825 | 11550 |
| 43 | 825 | 35475 |
| 44 | 825 | 3300 |
| 45 | 825 | 2475 |
| 46 | 825 | 37950 |
| 47 | 825 | 38775 |
| 48 | 825 | 13200 |
| 49 | 825 | 40425 |
| 50 | 825 | 1650 |
| 51 | 825 | 14025 |
| 52 | 825 | 42900 |
| 53 | 825 | 43725 |
| 54 | 825 | 14850 |
| 55 | 825 | 825 |
| 56 | 825 | 46200 |
| 57 | 825 | 15675 |
| 58 | 825 | 47850 |
| 59 | 825 | 48675 |
| 60 | 825 | 3300 |
| 61 | 825 | 50325 |
| 62 | 825 | 51150 |
| 63 | 825 | 17325 |
| 64 | 825 | 52800 |
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