LCM for 80 and 350
What's the Least Common Multiple (LCM) of 80 and 350?
Answer
(Two thousand, eight hundred)
Finding LCM for 80 and 350 using GCF of these numbers
The first method to find LCM for numbers 80 and 350 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 80 and 350 is 10, so
LCM = (80 × 350) ÷ 10
LCM = 28000 ÷ 10
LCM = 2800
Finding LCM for 80 and 350 by Listing Multiples
The second method to find LCM for numbers 80 and 350 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360, 1440, 1520, 1600, 1680, 1760, 1840, 1920, 2000, 2080, 2160, 2240, 2320, 2400, 2480, 2560, 2640, 2720, 2800, 2880, 2960
Multiples of 350: 350, 700, 1050, 1400, 1750, 2100, 2450, 2800, 3150, 3500
So the LCM for 80 and 350 is 2800
Finding LCM for 80 and 350 by Prime Factorization
Another method to find LCM for numbers 80 and 350 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)
All Prime Factors of 350: 2, 5, 5, 7 (exponent form: 21, 52, 71)
24 × 52 × 71 = 2800
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers

LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 65 | 350 | 4550 |
| 66 | 350 | 11550 |
| 67 | 350 | 23450 |
| 68 | 350 | 11900 |
| 69 | 350 | 24150 |
| 70 | 350 | 350 |
| 71 | 350 | 24850 |
| 72 | 350 | 12600 |
| 73 | 350 | 25550 |
| 74 | 350 | 12950 |
| 75 | 350 | 1050 |
| 76 | 350 | 13300 |
| 77 | 350 | 3850 |
| 78 | 350 | 13650 |
| 79 | 350 | 27650 |
| 80 | 350 | 2800 |
| 81 | 350 | 28350 |
| 82 | 350 | 14350 |
| 83 | 350 | 29050 |
| 84 | 350 | 2100 |
| 85 | 350 | 5950 |
| 86 | 350 | 15050 |
| 87 | 350 | 30450 |
| 88 | 350 | 15400 |
| 89 | 350 | 31150 |
| 90 | 350 | 3150 |
| 91 | 350 | 4550 |
| 92 | 350 | 16100 |
| 93 | 350 | 32550 |
| 94 | 350 | 16450 |
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