LCM for 4 and 200
What's the Least Common Multiple (LCM) of 4 and 200?
(Two hundred)
Finding LCM for 4 and 200 using GCF's of these numbers
The first method to find LCM for numbers 4 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 4 and 200 is 4, so
LCM = (4 × 200) ÷ 4
LCM = 800 ÷ 4
LCM = 200
Finding LCM for 4 and 200 by Listing Multiples
The second method to find LCM for numbers 4 and 200 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208
Multiples of 200: 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200, 2400, 2600, 2800, 3000, 3200, 3400, 3600, 3800, 4000, 4200, 4400, 4600, 4800, 5000, 5200, 5400, 5600, 5800, 6000, 6200, 6400, 6600, 6800, 7000, 7200, 7400, 7600, 7800, 8000, 8200, 8400, 8600, 8800, 9000, 9200, 9400, 9600, 9800, 10000, 10200, 10400, [...], 200
So the LCM for 4 and 200 is 200
Finding LCM for 4 and 200 by Prime Factorization
Another method to find LCM for numbers 4 and 200 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 4: 2, 2 (exponent form: 22)
All Prime Factors of 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)
23 × 52 = 200
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/4--200">What is the LCM of 4 and 200? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 200 | 200 |
| 2 | 200 | 200 |
| 3 | 200 | 600 |
| 4 | 200 | 200 |
| 5 | 200 | 200 |
| 6 | 200 | 600 |
| 7 | 200 | 1400 |
| 8 | 200 | 200 |
| 9 | 200 | 1800 |
| 10 | 200 | 200 |
| 11 | 200 | 2200 |
| 12 | 200 | 600 |
| 13 | 200 | 2600 |
| 14 | 200 | 1400 |
| 15 | 200 | 600 |
| 16 | 200 | 400 |
| 17 | 200 | 3400 |
| 18 | 200 | 1800 |
| 19 | 200 | 3800 |
| 20 | 200 | 200 |
| 21 | 200 | 4200 |
| 22 | 200 | 2200 |
| 23 | 200 | 4600 |
| 24 | 200 | 600 |
| 25 | 200 | 200 |
| 26 | 200 | 2600 |
| 27 | 200 | 5400 |
| 28 | 200 | 1400 |
| 29 | 200 | 5800 |
| 30 | 200 | 600 |
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