LCM for 24 and 128

What's the Least Common Multiple (LCM) of 24 and 128?

Answer: LCM of 24 and 128 is 384

(Three hundred eighty-four)

Finding LCM for 24 and 128 using GCF's of these numbers

The first method to find LCM for numbers 24 and 128 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 128 is 8, so

LCM = (24 × 128) ÷ 8

LCM = 3072 ÷ 8

LCM = 384

Finding LCM for 24 and 128 by Listing Multiples

The second method to find LCM for numbers 24 and 128 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432

Multiples of 128: 128, 256, 384, 512, 640

So the LCM for 24 and 128 is 384

Finding LCM for 24 and 128 by Prime Factorization

Another method to find LCM for numbers 24 and 128 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

All Prime Factors of 128: 2, 2, 2, 2, 2, 2, 2 (exponent form: 27)

27 × 31 = 384

See Also

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 24 and 128? (The answer is: 384). Select the first number (e.g. '24') and the second number (e.g. '128'). 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

LCM Table

Number 1Number 2LCM
91281152
10128640
111281408
12128384
131281664
14128896
151281920
16128128
171282176
181281152
191282432
20128640
211282688
221281408
231282944
24128
251283200
261281664
271283456
28128896
291283712
301281920
311283968
32128128
331284224
341282176
351284480
361281152
371284736
381282432

FAQ

What's the Least Common Multiple (LCM) of 24 and 128?

LCM of 24 and 128 is 384