LCM for 220 and 420
What's the Least Common Multiple (LCM) of 220 and 420?
(Four thousand, six hundred twenty)
Finding LCM for 220 and 420 using GCF's of these numbers
The first method to find LCM for numbers 220 and 420 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 220 and 420 is 20, so
LCM = (220 × 420) ÷ 20
LCM = 92400 ÷ 20
LCM = 4620
Finding LCM for 220 and 420 by Listing Multiples
The second method to find LCM for numbers 220 and 420 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 220: 220, 440, 660, 880, 1100, 1320, 1540, 1760, 1980, 2200, 2420, 2640, 2860, 3080, 3300, 3520, 3740, 3960, 4180, 4400, 4620, 4840, 5060
Multiples of 420: 420, 840, 1260, 1680, 2100, 2520, 2940, 3360, 3780, 4200, 4620, 5040, 5460
So the LCM for 220 and 420 is 4620
Finding LCM for 220 and 420 by Prime Factorization
Another method to find LCM for numbers 220 and 420 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 220: 2, 2, 5, 11 (exponent form: 22, 51, 111)
All Prime Factors of 420: 2, 2, 3, 5, 7 (exponent form: 22, 31, 51, 71)
22 × 51 × 111 × 31 × 71 = 4620
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/220--420">What is the LCM of 220 and 420? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 205 | 420 | 17220 |
| 206 | 420 | 43260 |
| 207 | 420 | 28980 |
| 208 | 420 | 21840 |
| 209 | 420 | 87780 |
| 210 | 420 | 420 |
| 211 | 420 | 88620 |
| 212 | 420 | 22260 |
| 213 | 420 | 29820 |
| 214 | 420 | 44940 |
| 215 | 420 | 18060 |
| 216 | 420 | 7560 |
| 217 | 420 | 13020 |
| 218 | 420 | 45780 |
| 219 | 420 | 30660 |
| 220 | 420 | 4620 |
| 221 | 420 | 92820 |
| 222 | 420 | 15540 |
| 223 | 420 | 93660 |
| 224 | 420 | 3360 |
| 225 | 420 | 6300 |
| 226 | 420 | 47460 |
| 227 | 420 | 95340 |
| 228 | 420 | 7980 |
| 229 | 420 | 96180 |
| 230 | 420 | 9660 |
| 231 | 420 | 4620 |
| 232 | 420 | 24360 |
| 233 | 420 | 97860 |
| 234 | 420 | 16380 |
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