LCM for 64 and 224
What's the Least Common Multiple (LCM) of 64 and 224?
(Four hundred forty-eight)
Finding LCM for 64 and 224 using GCF's of these numbers
The first method to find LCM for numbers 64 and 224 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 64 and 224 is 32, so
LCM = (64 × 224) ÷ 32
LCM = 14336 ÷ 32
LCM = 448
Finding LCM for 64 and 224 by Listing Multiples
The second method to find LCM for numbers 64 and 224 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576
Multiples of 224: 224, 448, 672, 896
So the LCM for 64 and 224 is 448
Finding LCM for 64 and 224 by Prime Factorization
Another method to find LCM for numbers 64 and 224 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)
All Prime Factors of 224: 2, 2, 2, 2, 2, 7 (exponent form: 25, 71)
26 × 71 = 448
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
49 | 224 | 1568 |
50 | 224 | 5600 |
51 | 224 | 11424 |
52 | 224 | 2912 |
53 | 224 | 11872 |
54 | 224 | 6048 |
55 | 224 | 12320 |
56 | 224 | 224 |
57 | 224 | 12768 |
58 | 224 | 6496 |
59 | 224 | 13216 |
60 | 224 | 3360 |
61 | 224 | 13664 |
62 | 224 | 6944 |
63 | 224 | 2016 |
64 | 224 | 448 |
65 | 224 | 14560 |
66 | 224 | 7392 |
67 | 224 | 15008 |
68 | 224 | 3808 |
69 | 224 | 15456 |
70 | 224 | 1120 |
71 | 224 | 15904 |
72 | 224 | 2016 |
73 | 224 | 16352 |
74 | 224 | 8288 |
75 | 224 | 16800 |
76 | 224 | 4256 |
77 | 224 | 2464 |
78 | 224 | 8736 |
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