LCM for 36 and 198
What's the Least Common Multiple (LCM) of 36 and 198?
(Three hundred ninety-six)
Finding LCM for 36 and 198 using GCF's of these numbers
The first method to find LCM for numbers 36 and 198 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 36 and 198 is 18, so
LCM = (36 × 198) ÷ 18
LCM = 7128 ÷ 18
LCM = 396
Finding LCM for 36 and 198 by Listing Multiples
The second method to find LCM for numbers 36 and 198 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468
Multiples of 198: 198, 396, 594, 792
So the LCM for 36 and 198 is 396
Finding LCM for 36 and 198 by Prime Factorization
Another method to find LCM for numbers 36 and 198 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)
All Prime Factors of 198: 2, 3, 3, 11 (exponent form: 21, 32, 111)
22 × 32 × 111 = 396
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/36--198">What is the LCM of 36 and 198? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 21 | 198 | 1386 |
| 22 | 198 | 198 |
| 23 | 198 | 4554 |
| 24 | 198 | 792 |
| 25 | 198 | 4950 |
| 26 | 198 | 2574 |
| 27 | 198 | 594 |
| 28 | 198 | 2772 |
| 29 | 198 | 5742 |
| 30 | 198 | 990 |
| 31 | 198 | 6138 |
| 32 | 198 | 3168 |
| 33 | 198 | 198 |
| 34 | 198 | 3366 |
| 35 | 198 | 6930 |
| 36 | 198 | 396 |
| 37 | 198 | 7326 |
| 38 | 198 | 3762 |
| 39 | 198 | 2574 |
| 40 | 198 | 3960 |
| 41 | 198 | 8118 |
| 42 | 198 | 1386 |
| 43 | 198 | 8514 |
| 44 | 198 | 396 |
| 45 | 198 | 990 |
| 46 | 198 | 4554 |
| 47 | 198 | 9306 |
| 48 | 198 | 1584 |
| 49 | 198 | 9702 |
| 50 | 198 | 4950 |
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