LCM for 70 and 336
What's the Least Common Multiple (LCM) of 70 and 336?
(One thousand, six hundred eighty)
Finding LCM for 70 and 336 using GCF's of these numbers
The first method to find LCM for numbers 70 and 336 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 70 and 336 is 14, so
LCM = (70 × 336) ÷ 14
LCM = 23520 ÷ 14
LCM = 1680
Finding LCM for 70 and 336 by Listing Multiples
The second method to find LCM for numbers 70 and 336 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540, 1610, 1680, 1750, 1820
Multiples of 336: 336, 672, 1008, 1344, 1680, 2016, 2352
So the LCM for 70 and 336 is 1680
Finding LCM for 70 and 336 by Prime Factorization
Another method to find LCM for numbers 70 and 336 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)
All Prime Factors of 336: 2, 2, 2, 2, 3, 7 (exponent form: 24, 31, 71)
24 × 51 × 71 × 31 = 1680
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/70--336">What is the LCM of 70 and 336? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 55 | 336 | 18480 |
| 56 | 336 | 336 |
| 57 | 336 | 6384 |
| 58 | 336 | 9744 |
| 59 | 336 | 19824 |
| 60 | 336 | 1680 |
| 61 | 336 | 20496 |
| 62 | 336 | 10416 |
| 63 | 336 | 1008 |
| 64 | 336 | 1344 |
| 65 | 336 | 21840 |
| 66 | 336 | 3696 |
| 67 | 336 | 22512 |
| 68 | 336 | 5712 |
| 69 | 336 | 7728 |
| 70 | 336 | 1680 |
| 71 | 336 | 23856 |
| 72 | 336 | 1008 |
| 73 | 336 | 24528 |
| 74 | 336 | 12432 |
| 75 | 336 | 8400 |
| 76 | 336 | 6384 |
| 77 | 336 | 3696 |
| 78 | 336 | 4368 |
| 79 | 336 | 26544 |
| 80 | 336 | 1680 |
| 81 | 336 | 9072 |
| 82 | 336 | 13776 |
| 83 | 336 | 27888 |
| 84 | 336 | 336 |
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