LCM for 24 and 114

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 114?

Answer: LCM of 24 and 114 is 456

(Four hundred fifty-six)

Finding LCM for 24 and 114 using GCF's of these numbers

The first method to find LCM for numbers 24 and 114 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 114 is 6, so

LCM = (24 × 114) ÷ 6

LCM = 2736 ÷ 6

LCM = 456

Finding LCM for 24 and 114 by Listing Multiples

The second method to find LCM for numbers 24 and 114 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, 480, 504

Multiples of 114: 114, 228, 342, 456, 570, 684

So the LCM for 24 and 114 is 456

Finding LCM for 24 and 114 by Prime Factorization

Another method to find LCM for numbers 24 and 114 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 114: 2, 3, 19 (exponent form: 21, 31, 191)

23 × 31 × 191 = 456

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LCM Table

Number 1Number 2LCM
9114342
10114570
111141254
12114228
131141482
14114798
15114570
16114912
171141938
18114342
19114114
201141140
21114798
221141254
231142622
24114456
251142850
261141482
271141026
281141596
291143306
30114570
311143534
321141824
331141254
341141938
351143990
36114684
371144218
38114114

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 114? (The answer is: 456). Select the first number (e.g. '24') and the second number (e.g. '114'). 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 114?

LCM of 24 and 114 is 456

See Also