LCM for 24 and 204

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 204?

Answer: LCM of 24 and 204 is 408

(Four hundred eight)

Finding LCM for 24 and 204 using GCF's of these numbers

The first method to find LCM for numbers 24 and 204 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 204 is 12, so

LCM = (24 × 204) ÷ 12

LCM = 4896 ÷ 12

LCM = 408

Finding LCM for 24 and 204 by Listing Multiples

The second method to find LCM for numbers 24 and 204 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, 456

Multiples of 204: 204, 408, 612, 816

So the LCM for 24 and 204 is 408

Finding LCM for 24 and 204 by Prime Factorization

Another method to find LCM for numbers 24 and 204 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 204: 2, 2, 3, 17 (exponent form: 22, 31, 171)

23 × 31 × 171 = 408

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LCM Table

Number 1Number 2LCM
9204612
102041020
112042244
12204204
132042652
142041428
152041020
16204816
17204204
18204612
192043876
202041020
212041428
222042244
232044692
24204408
252045100
262042652
272041836
282041428
292045916
302041020
312046324
322041632
332042244
34204204
352047140
36204612
372047548
382043876

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 204? (The answer is: 408). Select the first number (e.g. '24') and the second number (e.g. '204'). 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 24 and 204?

LCM of 24 and 204 is 408

See Also