LCM for 90 and 140
What's the Least Common Multiple (LCM) of 90 and 140?
Answer
(One thousand, two hundred sixty)
Finding LCM for 90 and 140 using GCF of these numbers
The first method to find LCM for numbers 90 and 140 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 90 and 140 is 10, so
LCM = (90 × 140) ÷ 10
LCM = 12600 ÷ 10
LCM = 1260
Finding LCM for 90 and 140 by Listing Multiples
The second method to find LCM for numbers 90 and 140 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440
Multiples of 140: 140, 280, 420, 560, 700, 840, 980, 1120, 1260, 1400, 1540
So the LCM for 90 and 140 is 1260
Finding LCM for 90 and 140 by Prime Factorization
Another method to find LCM for numbers 90 and 140 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)
All Prime Factors of 140: 2, 2, 5, 7 (exponent form: 22, 51, 71)
22 × 32 × 51 × 71 = 1260
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/90--140">What is the LCM of 90 and 140? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 75 | 140 | 2100 |
| 76 | 140 | 2660 |
| 77 | 140 | 1540 |
| 78 | 140 | 5460 |
| 79 | 140 | 11060 |
| 80 | 140 | 560 |
| 81 | 140 | 11340 |
| 82 | 140 | 5740 |
| 83 | 140 | 11620 |
| 84 | 140 | 420 |
| 85 | 140 | 2380 |
| 86 | 140 | 6020 |
| 87 | 140 | 12180 |
| 88 | 140 | 3080 |
| 89 | 140 | 12460 |
| 90 | 140 | 1260 |
| 91 | 140 | 1820 |
| 92 | 140 | 3220 |
| 93 | 140 | 13020 |
| 94 | 140 | 6580 |
| 95 | 140 | 2660 |
| 96 | 140 | 3360 |
| 97 | 140 | 13580 |
| 98 | 140 | 980 |
| 99 | 140 | 13860 |
| 100 | 140 | 700 |
| 101 | 140 | 14140 |
| 102 | 140 | 7140 |
| 103 | 140 | 14420 |
| 104 | 140 | 3640 |
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