LCM for 28 and 64

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 28 and 64?

Answer: LCM of 28 and 64 is 448

(Four hundred forty-eight)

Finding LCM for 28 and 64 using GCF's of these numbers

The first method to find LCM for numbers 28 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 28 and 64 is 4, so

LCM = (28 × 64) ÷ 4

LCM = 1792 ÷ 4

LCM = 448

Finding LCM for 28 and 64 by Listing Multiples

The second method to find LCM for numbers 28 and 64 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576

So the LCM for 28 and 64 is 448

Finding LCM for 28 and 64 by Prime Factorization

Another method to find LCM for numbers 28 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)

All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

26 × 71 = 448

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LCM Table

Number 1Number 2LCM
1364832
1464448
1564960
166464
17641088
1864576
19641216
2064320
21641344
2264704
23641472
2464192
25641600
2664832
27641728
2864448
29641856
3064960
31641984
326464
33642112
34641088
35642240
3664576
37642368
38641216
39642496
4064320
41642624
42641344

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 28 and 64? (The answer is: 448). Select the first number (e.g. '28') and the second number (e.g. '64'). After that hit the 'Calculate' button.
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

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 28 and 64?

LCM of 28 and 64 is 448

See Also