LCM for 75 and 90
What's the Least Common Multiple (LCM) of 75 and 90?
Answer
(Four hundred fifty)
Finding LCM for 75 and 90 using GCF of these numbers
The first method to find LCM for numbers 75 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 75 and 90 is 15, so
LCM = (75 × 90) ÷ 15
LCM = 6750 ÷ 15
LCM = 450
Finding LCM for 75 and 90 by Listing Multiples
The second method to find LCM for numbers 75 and 90 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600
Multiples of 90: 90, 180, 270, 360, 450, 540, 630
So the LCM for 75 and 90 is 450
Finding LCM for 75 and 90 by Prime Factorization
Another method to find LCM for numbers 75 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)
All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)
32 × 52 × 21 = 450
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/75--90">What is the LCM of 75 and 90? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 60 | 90 | 180 |
| 61 | 90 | 5490 |
| 62 | 90 | 2790 |
| 63 | 90 | 630 |
| 64 | 90 | 2880 |
| 65 | 90 | 1170 |
| 66 | 90 | 990 |
| 67 | 90 | 6030 |
| 68 | 90 | 3060 |
| 69 | 90 | 2070 |
| 70 | 90 | 630 |
| 71 | 90 | 6390 |
| 72 | 90 | 360 |
| 73 | 90 | 6570 |
| 74 | 90 | 3330 |
| 75 | 90 | 450 |
| 76 | 90 | 3420 |
| 77 | 90 | 6930 |
| 78 | 90 | 1170 |
| 79 | 90 | 7110 |
| 80 | 90 | 720 |
| 81 | 90 | 810 |
| 82 | 90 | 3690 |
| 83 | 90 | 7470 |
| 84 | 90 | 1260 |
| 85 | 90 | 1530 |
| 86 | 90 | 3870 |
| 87 | 90 | 2610 |
| 88 | 90 | 3960 |
| 89 | 90 | 8010 |
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