LCM for 90 and 216
What's the Least Common Multiple (LCM) of 90 and 216?
(One thousand, eighty)
Finding LCM for 90 and 216 using GCF's of these numbers
The first method to find LCM for numbers 90 and 216 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 90 and 216 is 18, so
LCM = (90 × 216) ÷ 18
LCM = 19440 ÷ 18
LCM = 1080
Finding LCM for 90 and 216 by Listing Multiples
The second method to find LCM for numbers 90 and 216 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
Multiples of 216: 216, 432, 648, 864, 1080, 1296, 1512
So the LCM for 90 and 216 is 1080
Finding LCM for 90 and 216 by Prime Factorization
Another method to find LCM for numbers 90 and 216 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 216: 2, 2, 2, 3, 3, 3 (exponent form: 23, 33)
23 × 33 × 51 = 1080
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--216">What is the LCM of 90 and 216? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 75 | 216 | 5400 |
| 76 | 216 | 4104 |
| 77 | 216 | 16632 |
| 78 | 216 | 2808 |
| 79 | 216 | 17064 |
| 80 | 216 | 2160 |
| 81 | 216 | 648 |
| 82 | 216 | 8856 |
| 83 | 216 | 17928 |
| 84 | 216 | 1512 |
| 85 | 216 | 18360 |
| 86 | 216 | 9288 |
| 87 | 216 | 6264 |
| 88 | 216 | 2376 |
| 89 | 216 | 19224 |
| 90 | 216 | 1080 |
| 91 | 216 | 19656 |
| 92 | 216 | 4968 |
| 93 | 216 | 6696 |
| 94 | 216 | 10152 |
| 95 | 216 | 20520 |
| 96 | 216 | 864 |
| 97 | 216 | 20952 |
| 98 | 216 | 10584 |
| 99 | 216 | 2376 |
| 100 | 216 | 5400 |
| 101 | 216 | 21816 |
| 102 | 216 | 3672 |
| 103 | 216 | 22248 |
| 104 | 216 | 2808 |
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