LCM for 90 and 396
What's the Least Common Multiple (LCM) of 90 and 396?
(One thousand, nine hundred eighty)
Finding LCM for 90 and 396 using GCF's of these numbers
The first method to find LCM for numbers 90 and 396 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 90 and 396 is 18, so
LCM = (90 × 396) ÷ 18
LCM = 35640 ÷ 18
LCM = 1980
Finding LCM for 90 and 396 by Listing Multiples
The second method to find LCM for numbers 90 and 396 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440, 1530, 1620, 1710, 1800, 1890, 1980, 2070, 2160
Multiples of 396: 396, 792, 1188, 1584, 1980, 2376, 2772
So the LCM for 90 and 396 is 1980
Finding LCM for 90 and 396 by Prime Factorization
Another method to find LCM for numbers 90 and 396 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 396: 2, 2, 3, 3, 11 (exponent form: 22, 32, 111)
22 × 32 × 51 × 111 = 1980
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--396">What is the LCM of 90 and 396? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 75 | 396 | 9900 |
| 76 | 396 | 7524 |
| 77 | 396 | 2772 |
| 78 | 396 | 5148 |
| 79 | 396 | 31284 |
| 80 | 396 | 7920 |
| 81 | 396 | 3564 |
| 82 | 396 | 16236 |
| 83 | 396 | 32868 |
| 84 | 396 | 2772 |
| 85 | 396 | 33660 |
| 86 | 396 | 17028 |
| 87 | 396 | 11484 |
| 88 | 396 | 792 |
| 89 | 396 | 35244 |
| 90 | 396 | 1980 |
| 91 | 396 | 36036 |
| 92 | 396 | 9108 |
| 93 | 396 | 12276 |
| 94 | 396 | 18612 |
| 95 | 396 | 37620 |
| 96 | 396 | 3168 |
| 97 | 396 | 38412 |
| 98 | 396 | 19404 |
| 99 | 396 | 396 |
| 100 | 396 | 9900 |
| 101 | 396 | 39996 |
| 102 | 396 | 6732 |
| 103 | 396 | 40788 |
| 104 | 396 | 10296 |
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