LCM for 675 and 945
What's the Least Common Multiple (LCM) of 675 and 945?
(Four thousand, seven hundred twenty-five)
Finding LCM for 675 and 945 using GCF's of these numbers
The first method to find LCM for numbers 675 and 945 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 675 and 945 is 135, so
LCM = (675 × 945) ÷ 135
LCM = 637875 ÷ 135
LCM = 4725
Finding LCM for 675 and 945 by Listing Multiples
The second method to find LCM for numbers 675 and 945 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 675: 675, 1350, 2025, 2700, 3375, 4050, 4725, 5400, 6075
Multiples of 945: 945, 1890, 2835, 3780, 4725, 5670, 6615
So the LCM for 675 and 945 is 4725
Finding LCM for 675 and 945 by Prime Factorization
Another method to find LCM for numbers 675 and 945 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 675: 3, 3, 3, 5, 5 (exponent form: 33, 52)
All Prime Factors of 945: 3, 3, 3, 5, 7 (exponent form: 33, 51, 71)
33 × 52 × 71 = 4725
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/675--945">What is the LCM of 675 and 945? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 660 | 945 | 41580 |
| 661 | 945 | 624645 |
| 662 | 945 | 625590 |
| 663 | 945 | 208845 |
| 664 | 945 | 627480 |
| 665 | 945 | 17955 |
| 666 | 945 | 69930 |
| 667 | 945 | 630315 |
| 668 | 945 | 631260 |
| 669 | 945 | 210735 |
| 670 | 945 | 126630 |
| 671 | 945 | 634095 |
| 672 | 945 | 30240 |
| 673 | 945 | 635985 |
| 674 | 945 | 636930 |
| 675 | 945 | 4725 |
| 676 | 945 | 638820 |
| 677 | 945 | 639765 |
| 678 | 945 | 213570 |
| 679 | 945 | 91665 |
| 680 | 945 | 128520 |
| 681 | 945 | 214515 |
| 682 | 945 | 644490 |
| 683 | 945 | 645435 |
| 684 | 945 | 71820 |
| 685 | 945 | 129465 |
| 686 | 945 | 92610 |
| 687 | 945 | 216405 |
| 688 | 945 | 650160 |
| 689 | 945 | 651105 |
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