LCM for 6 and 87
What's the Least Common Multiple (LCM) of 6 and 87?
(One hundred seventy-four)
Finding LCM for 6 and 87 using GCF's of these numbers
The first method to find LCM for numbers 6 and 87 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 87 is 3, so
LCM = (6 × 87) ÷ 3
LCM = 522 ÷ 3
LCM = 174
Finding LCM for 6 and 87 by Listing Multiples
The second method to find LCM for numbers 6 and 87 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186
Multiples of 87: 87, 174, 261, 348
So the LCM for 6 and 87 is 174
Finding LCM for 6 and 87 by Prime Factorization
Another method to find LCM for numbers 6 and 87 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 31)
All Prime Factors of 87: 3, 29 (exponent form: 31, 291)
21 × 31 × 291 = 174
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
1 | 87 | 87 |
2 | 87 | 174 |
3 | 87 | 87 |
4 | 87 | 348 |
5 | 87 | 435 |
6 | 87 | 174 |
7 | 87 | 609 |
8 | 87 | 696 |
9 | 87 | 261 |
10 | 87 | 870 |
11 | 87 | 957 |
12 | 87 | 348 |
13 | 87 | 1131 |
14 | 87 | 1218 |
15 | 87 | 435 |
16 | 87 | 1392 |
17 | 87 | 1479 |
18 | 87 | 522 |
19 | 87 | 1653 |
20 | 87 | 1740 |
21 | 87 | 609 |
22 | 87 | 1914 |
23 | 87 | 2001 |
24 | 87 | 696 |
25 | 87 | 2175 |
26 | 87 | 2262 |
27 | 87 | 783 |
28 | 87 | 2436 |
29 | 87 | 87 |
30 | 87 | 870 |
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