LCM for 100 and 105
What's the Least Common Multiple (LCM) of 100 and 105?
Answer
(Two thousand, one hundred)
Finding LCM for 100 and 105 using GCF of these numbers
The first method to find LCM for numbers 100 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 100 and 105 is 5, so
LCM = (100 × 105) ÷ 5
LCM = 10500 ÷ 5
LCM = 2100
Finding LCM for 100 and 105 by Listing Multiples
The second method to find LCM for numbers 100 and 105 is to list out the common multiples for both numbers and pick the first one that matches:
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
Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365, 1470, 1575, 1680, 1785, 1890, 1995, 2100, 2205, 2310
So the LCM for 100 and 105 is 2100
Finding LCM for 100 and 105 by Prime Factorization
Another method to find LCM for numbers 100 and 105 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)
22 × 52 × 31 × 71 = 2100
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/100--105">What is the LCM of 100 and 105? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 85 | 105 | 1785 |
| 86 | 105 | 9030 |
| 87 | 105 | 3045 |
| 88 | 105 | 9240 |
| 89 | 105 | 9345 |
| 90 | 105 | 630 |
| 91 | 105 | 1365 |
| 92 | 105 | 9660 |
| 93 | 105 | 3255 |
| 94 | 105 | 9870 |
| 95 | 105 | 1995 |
| 96 | 105 | 3360 |
| 97 | 105 | 10185 |
| 98 | 105 | 1470 |
| 99 | 105 | 3465 |
| 100 | 105 | 2100 |
| 101 | 105 | 10605 |
| 102 | 105 | 3570 |
| 103 | 105 | 10815 |
| 104 | 105 | 10920 |
| 105 | 105 | 105 |
| 106 | 105 | 11130 |
| 107 | 105 | 11235 |
| 108 | 105 | 3780 |
| 109 | 105 | 11445 |
| 110 | 105 | 2310 |
| 111 | 105 | 3885 |
| 112 | 105 | 1680 |
| 113 | 105 | 11865 |
| 114 | 105 | 3990 |
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