LCM for 99 and 100
What's the Least Common Multiple (LCM) of 99 and 100?
(Nine thousand, nine hundred)
Finding LCM for 99 and 100 using GCF's of these numbers
The first method to find LCM for numbers 99 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 99 and 100 is 1, so
LCM = (99 × 100) ÷ 1
LCM = 9900 ÷ 1
LCM = 9900
Finding LCM for 99 and 100 by Listing Multiples
The second method to find LCM for numbers 99 and 100 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 99: 99, 198, 297, 396, 495, 594, 693, 792, 891, 990, 1089, 1188, 1287, 1386, 1485, 1584, 1683, 1782, 1881, 1980, 2079, 2178, 2277, 2376, 2475, 2574, 2673, 2772, 2871, 2970, 3069, 3168, 3267, 3366, 3465, 3564, 3663, 3762, 3861, 3960, 4059, 4158, 4257, 4356, 4455, 4554, 4653, 4752, 4851, 4950, 5049, 5148, 5247, 5346, 5445, 5544, 5643, 5742, 5841, 5940, 6039, 6138, 6237, 6336, 6435, 6534, 6633, 6732, 6831, 6930, 7029, 7128, 7227, 7326, 7425, 7524, 7623, 7722, 7821, 7920, 8019, 8118, 8217, 8316, 8415, 8514, 8613, 8712, 8811, 8910, 9009, 9108, 9207, 9306, 9405, 9504, 9603, 9702, 9801, 9900, 9999, 10098
Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000, 3100, 3200, 3300, 3400, 3500, 3600, 3700, 3800, 3900, 4000, 4100, 4200, 4300, 4400, 4500, 4600, 4700, 4800, 4900, 5000, 5100, 5200, 5300, 5400, 5500, 5600, 5700, 5800, 5900, 6000, 6100, 6200, 6300, 6400, 6500, 6600, 6700, 6800, 6900, 7000, 7100, 7200, 7300, 7400, 7500, 7600, 7700, 7800, 7900, 8000, 8100, 8200, 8300, 8400, 8500, 8600, 8700, 8800, 8900, 9000, 9100, 9200, 9300, 9400, 9500, 9600, 9700, 9800, 9900, 10000, 10100
So the LCM for 99 and 100 is 9900
Finding LCM for 99 and 100 by Prime Factorization
Another method to find LCM for numbers 99 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 99: 3, 3, 11 (exponent form: 32, 111)
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
32 × 111 × 22 × 52 = 9900
Related Calculations
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/99--100">What is the LCM of 99 and 100? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 84 | 100 | 2100 |
| 85 | 100 | 1700 |
| 86 | 100 | 4300 |
| 87 | 100 | 8700 |
| 88 | 100 | 2200 |
| 89 | 100 | 8900 |
| 90 | 100 | 900 |
| 91 | 100 | 9100 |
| 92 | 100 | 2300 |
| 93 | 100 | 9300 |
| 94 | 100 | 4700 |
| 95 | 100 | 1900 |
| 96 | 100 | 2400 |
| 97 | 100 | 9700 |
| 98 | 100 | 4900 |
| 99 | 100 | 9900 |
| 100 | 100 | 100 |
| 101 | 100 | 10100 |
| 102 | 100 | 5100 |
| 103 | 100 | 10300 |
| 104 | 100 | 2600 |
| 105 | 100 | 2100 |
| 106 | 100 | 5300 |
| 107 | 100 | 10700 |
| 108 | 100 | 2700 |
| 109 | 100 | 10900 |
| 110 | 100 | 1100 |
| 111 | 100 | 11100 |
| 112 | 100 | 2800 |
| 113 | 100 | 11300 |
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