LCM for 32 and 144

What's the Least Common Multiple (LCM) of 32 and 144?

Answer: LCM of 32 and 144 is 288

(Two hundred eighty-eight)

Finding LCM for 32 and 144 using GCF's of these numbers

The first method to find LCM for numbers 32 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 32 and 144 is 16, so

LCM = (32 × 144) ÷ 16

LCM = 4608 ÷ 16

LCM = 288

Finding LCM for 32 and 144 by Listing Multiples

The second method to find LCM for numbers 32 and 144 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352

Multiples of 144: 144, 288, 432, 576

So the LCM for 32 and 144 is 288

Finding LCM for 32 and 144 by Prime Factorization

Another method to find LCM for numbers 32 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)

All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)

25 × 32 = 288

LCM Table

Number 1Number 2LCM
171442448
18144144
191442736
20144720
211441008
221441584
231443312
24144144
251443600
261441872
27144432
281441008
291444176
30144720
311444464
32144
331441584
341442448
351445040
36144144
371445328
381442736
391441872
40144
411445904
421441008
431446192
441441584
45144720
461443312

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 32 and 144? (The answer is: 288). Select the first number (e.g. '32') and the second number (e.g. '144'). 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

FAQ

What's the Least Common Multiple (LCM) of 32 and 144?

LCM of 32 and 144 is 288