LCM for 6 and 74
What's the Least Common Multiple (LCM) of 6 and 74?
(Two hundred twenty-two)
Finding LCM for 6 and 74 using GCF's of these numbers
The first method to find LCM for numbers 6 and 74 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 74 is 2, so
LCM = (6 × 74) ÷ 2
LCM = 444 ÷ 2
LCM = 222
Finding LCM for 6 and 74 by Listing Multiples
The second method to find LCM for numbers 6 and 74 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, 192, 198, 204, 210, 216, 222, 228, 234
Multiples of 74: 74, 148, 222, 296, 370
So the LCM for 6 and 74 is 222
Finding LCM for 6 and 74 by Prime Factorization
Another method to find LCM for numbers 6 and 74 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 74: 2, 37 (exponent form: 21, 371)
21 × 31 × 371 = 222
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
1 | 74 | 74 |
2 | 74 | 74 |
3 | 74 | 222 |
4 | 74 | 148 |
5 | 74 | 370 |
6 | 74 | 222 |
7 | 74 | 518 |
8 | 74 | 296 |
9 | 74 | 666 |
10 | 74 | 370 |
11 | 74 | 814 |
12 | 74 | 444 |
13 | 74 | 962 |
14 | 74 | 518 |
15 | 74 | 1110 |
16 | 74 | 592 |
17 | 74 | 1258 |
18 | 74 | 666 |
19 | 74 | 1406 |
20 | 74 | 740 |
21 | 74 | 1554 |
22 | 74 | 814 |
23 | 74 | 1702 |
24 | 74 | 888 |
25 | 74 | 1850 |
26 | 74 | 962 |
27 | 74 | 1998 |
28 | 74 | 1036 |
29 | 74 | 2146 |
30 | 74 | 1110 |
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