LCM for 50 and 525
What's the Least Common Multiple (LCM) of 50 and 525?
(One thousand, fifty)
Finding LCM for 50 and 525 using GCF's of these numbers
The first method to find LCM for numbers 50 and 525 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 50 and 525 is 25, so
LCM = (50 × 525) ÷ 25
LCM = 26250 ÷ 25
LCM = 1050
Finding LCM for 50 and 525 by Listing Multiples
The second method to find LCM for numbers 50 and 525 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
Multiples of 525: 525, 1050, 1575, 2100
So the LCM for 50 and 525 is 1050
Finding LCM for 50 and 525 by Prime Factorization
Another method to find LCM for numbers 50 and 525 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 525: 3, 5, 5, 7 (exponent form: 31, 52, 71)
21 × 52 × 31 × 71 = 1050
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--525">What is the LCM of 50 and 525? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 35 | 525 | 525 |
| 36 | 525 | 6300 |
| 37 | 525 | 19425 |
| 38 | 525 | 19950 |
| 39 | 525 | 6825 |
| 40 | 525 | 4200 |
| 41 | 525 | 21525 |
| 42 | 525 | 1050 |
| 43 | 525 | 22575 |
| 44 | 525 | 23100 |
| 45 | 525 | 1575 |
| 46 | 525 | 24150 |
| 47 | 525 | 24675 |
| 48 | 525 | 8400 |
| 49 | 525 | 3675 |
| 50 | 525 | 1050 |
| 51 | 525 | 8925 |
| 52 | 525 | 27300 |
| 53 | 525 | 27825 |
| 54 | 525 | 9450 |
| 55 | 525 | 5775 |
| 56 | 525 | 4200 |
| 57 | 525 | 9975 |
| 58 | 525 | 30450 |
| 59 | 525 | 30975 |
| 60 | 525 | 2100 |
| 61 | 525 | 32025 |
| 62 | 525 | 32550 |
| 63 | 525 | 1575 |
| 64 | 525 | 33600 |
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