LCM for 36 and 3
What's the Least Common Multiple (LCM) of 36 and 3?
Answer
(Thirty-six)
Finding LCM for 36 and 3 using GCF of these numbers
The first method to find LCM for numbers 36 and 3 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 36 and 3 is 3, so
LCM = (36 × 3) ÷ 3
LCM = 108 ÷ 3
LCM = 36
Finding LCM for 36 and 3 by Listing Multiples
The second method to find LCM for numbers 36 and 3 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 36: 36, 72, 108
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42
So the LCM for 36 and 3 is 36
Finding LCM for 36 and 3 by Prime Factorization
Another method to find LCM for numbers 36 and 3 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 3: 3 (exponent form: 31)
22 × 32 = 36
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/36--3">What is the LCM of 36 and 3? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 21 | 3 | 21 |
| 22 | 3 | 66 |
| 23 | 3 | 69 |
| 24 | 3 | 24 |
| 25 | 3 | 75 |
| 26 | 3 | 78 |
| 27 | 3 | 27 |
| 28 | 3 | 84 |
| 29 | 3 | 87 |
| 30 | 3 | 30 |
| 31 | 3 | 93 |
| 32 | 3 | 96 |
| 33 | 3 | 33 |
| 34 | 3 | 102 |
| 35 | 3 | 105 |
| 36 | 3 | 36 |
| 37 | 3 | 111 |
| 38 | 3 | 114 |
| 39 | 3 | 39 |
| 40 | 3 | 120 |
| 41 | 3 | 123 |
| 42 | 3 | 42 |
| 43 | 3 | 129 |
| 44 | 3 | 132 |
| 45 | 3 | 45 |
| 46 | 3 | 138 |
| 47 | 3 | 141 |
| 48 | 3 | 48 |
| 49 | 3 | 147 |
| 50 | 3 | 150 |
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