LCM for 3,575 and 1,000
What's the Least Common Multiple (LCM) of 3,575 and 1,000?
Answer
(One hundred forty-three thousand)
Finding LCM for 3,575 and 1,000 using GCF of these numbers
The first method to find LCM for numbers 3,575 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 3,575 and 1,000 is 25, so
LCM = (3,575 × 1,000) ÷ 25
LCM = 3,575,000 ÷ 25
LCM = 143,000
Finding LCM for 3,575 and 1,000 by Listing Multiples
The second method to find LCM for numbers 3,575 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 3,575: 3,575, 7,150, 10,725, 14,300, 17,875, 21,450, 25,025, 28,600, 32,175, 35,750, 39,325, 42,900, 46,475, 50,050, 53,625, 57,200, 60,775, 64,350, 67,925, 71,500, 75,075, 78,650, 82,225, 85,800, 89,375, 92,950, 96,525, 100,100, 103,675, 107,250, 110,825, 114,400, 117,975, 121,550, 125,125, 128,700, 132,275, 135,850, 139,425, 143,000, 146,575, 150,150
Multiples of 1,000: 1,000, 2,000, 3,000, 4,000, 5,000, 6,000, 7,000, 8,000, 9,000, 10,000, 11,000, 12,000, 13,000, 14,000, 15,000, 16,000, 17,000, 18,000, 19,000, 20,000, 21,000, 22,000, 23,000, 24,000, 25,000, 26,000, 27,000, 28,000, 29,000, 30,000, 31,000, 32,000, 33,000, 34,000, 35,000, 36,000, 37,000, 38,000, 39,000, 40,000, 41,000, 42,000, 43,000, 44,000, 45,000, 46,000, 47,000, 48,000, 49,000, 50,000, 51,000, 52,000, 53,000, 54,000, 55,000, 56,000, 57,000, 58,000, 59,000, 60,000, 61,000, 62,000, 63,000, 64,000, 65,000, 66,000, 67,000, 68,000, 69,000, 70,000, 71,000, 72,000, 73,000, 74,000, 75,000, 76,000, 77,000, 78,000, 79,000, 80,000, 81,000, 82,000, 83,000, 84,000, 85,000, 86,000, 87,000, 88,000, 89,000, 90,000, 91,000, 92,000, 93,000, 94,000, 95,000, 96,000, 97,000, 98,000, 99,000, 100,000, 101,000, 102,000, 103,000, 104,000, 105,000, 106,000, 107,000, 108,000, 109,000, 110,000, 111,000, 112,000, 113,000, 114,000, 115,000, 116,000, 117,000, 118,000, 119,000, 120,000, 121,000, 122,000, 123,000, 124,000, 125,000, 126,000, 127,000, 128,000, 129,000, 130,000, 131,000, 132,000, 133,000, 134,000, 135,000, 136,000, 137,000, 138,000, 139,000, 140,000, 141,000, 142,000, 143,000, 144,000, 145,000
So the LCM for 3,575 and 1,000 is 143,000
Finding LCM for 3,575 and 1,000 by Prime Factorization
Another method to find LCM for numbers 3,575 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 3,575: 5, 5, 11, 13 (exponent form: 52, 111, 131)
All Prime Factors of 1,000: 2, 2, 2, 5, 5, 5 (exponent form: 23, 53)
53 × 111 × 131 × 23 = 143,000
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers

LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 3,575 | 985 | 704,275 |
| 3,575 | 986 | 3,524,950 |
| 3,575 | 987 | 3,528,525 |
| 3,575 | 988 | 271,700 |
| 3,575 | 989 | 3,535,675 |
| 3,575 | 990 | 64,350 |
| 3,575 | 991 | 3,542,825 |
| 3,575 | 992 | 3,546,400 |
| 3,575 | 993 | 3,549,975 |
| 3,575 | 994 | 3,553,550 |
| 3,575 | 995 | 711,425 |
| 3,575 | 996 | 3,560,700 |
| 3,575 | 997 | 3,564,275 |
| 3,575 | 998 | 3,567,850 |
| 3,575 | 999 | 3,571,425 |
| 3,575 | 1,000 | 143,000 |
| 3,575 | 1,001 | 25,025 |
| 3,575 | 1,002 | 3,582,150 |
| 3,575 | 1,003 | 3,585,725 |
| 3,575 | 1,004 | 3,589,300 |
| 3,575 | 1,005 | 718,575 |
| 3,575 | 1,006 | 3,596,450 |
| 3,575 | 1,007 | 3,600,025 |
| 3,575 | 1,008 | 3,603,600 |
| 3,575 | 1,009 | 3,607,175 |
| 3,575 | 1,010 | 722,150 |
| 3,575 | 1,011 | 3,614,325 |
| 3,575 | 1,012 | 328,900 |
| 3,575 | 1,013 | 3,621,475 |
| 3,575 | 1,014 | 278,850 |
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