LCM for 30 and 125
What's the Least Common Multiple (LCM) of 30 and 125?
(Seven hundred fifty)
Finding LCM for 30 and 125 using GCF's of these numbers
The first method to find LCM for numbers 30 and 125 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 30 and 125 is 5, so
LCM = (30 × 125) ÷ 5
LCM = 3750 ÷ 5
LCM = 750
Finding LCM for 30 and 125 by Listing Multiples
The second method to find LCM for numbers 30 and 125 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810
Multiples of 125: 125, 250, 375, 500, 625, 750, 875, 1000
So the LCM for 30 and 125 is 750
Finding LCM for 30 and 125 by Prime Factorization
Another method to find LCM for numbers 30 and 125 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
All Prime Factors of 125: 5, 5, 5 (exponent form: 53)
21 × 31 × 53 = 750
Related Calculations
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/30--125">What is the LCM of 30 and 125? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 15 | 125 | 375 |
| 16 | 125 | 2000 |
| 17 | 125 | 2125 |
| 18 | 125 | 2250 |
| 19 | 125 | 2375 |
| 20 | 125 | 500 |
| 21 | 125 | 2625 |
| 22 | 125 | 2750 |
| 23 | 125 | 2875 |
| 24 | 125 | 3000 |
| 25 | 125 | 125 |
| 26 | 125 | 3250 |
| 27 | 125 | 3375 |
| 28 | 125 | 3500 |
| 29 | 125 | 3625 |
| 30 | 125 | 750 |
| 31 | 125 | 3875 |
| 32 | 125 | 4000 |
| 33 | 125 | 4125 |
| 34 | 125 | 4250 |
| 35 | 125 | 875 |
| 36 | 125 | 4500 |
| 37 | 125 | 4625 |
| 38 | 125 | 4750 |
| 39 | 125 | 4875 |
| 40 | 125 | 1000 |
| 41 | 125 | 5125 |
| 42 | 125 | 5250 |
| 43 | 125 | 5375 |
| 44 | 125 | 5500 |
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