LCM for 90 and 345
What's the Least Common Multiple (LCM) of 90 and 345?
(Two thousand, seventy)
Finding LCM for 90 and 345 using GCF's of these numbers
The first method to find LCM for numbers 90 and 345 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 90 and 345 is 15, so
LCM = (90 × 345) ÷ 15
LCM = 31050 ÷ 15
LCM = 2070
Finding LCM for 90 and 345 by Listing Multiples
The second method to find LCM for numbers 90 and 345 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440, 1530, 1620, 1710, 1800, 1890, 1980, 2070, 2160, 2250
Multiples of 345: 345, 690, 1035, 1380, 1725, 2070, 2415, 2760
So the LCM for 90 and 345 is 2070
Finding LCM for 90 and 345 by Prime Factorization
Another method to find LCM for numbers 90 and 345 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)
All Prime Factors of 345: 3, 5, 23 (exponent form: 31, 51, 231)
21 × 32 × 51 × 231 = 2070
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/90--345">What is the LCM of 90 and 345? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 75 | 345 | 1725 |
| 76 | 345 | 26220 |
| 77 | 345 | 26565 |
| 78 | 345 | 8970 |
| 79 | 345 | 27255 |
| 80 | 345 | 5520 |
| 81 | 345 | 9315 |
| 82 | 345 | 28290 |
| 83 | 345 | 28635 |
| 84 | 345 | 9660 |
| 85 | 345 | 5865 |
| 86 | 345 | 29670 |
| 87 | 345 | 10005 |
| 88 | 345 | 30360 |
| 89 | 345 | 30705 |
| 90 | 345 | 2070 |
| 91 | 345 | 31395 |
| 92 | 345 | 1380 |
| 93 | 345 | 10695 |
| 94 | 345 | 32430 |
| 95 | 345 | 6555 |
| 96 | 345 | 11040 |
| 97 | 345 | 33465 |
| 98 | 345 | 33810 |
| 99 | 345 | 11385 |
| 100 | 345 | 6900 |
| 101 | 345 | 34845 |
| 102 | 345 | 11730 |
| 103 | 345 | 35535 |
| 104 | 345 | 35880 |
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