LCM for 45 and 144

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 45 and 144?

Answer: LCM of 45 and 144 is 720

(Seven hundred twenty)

Finding LCM for 45 and 144 using GCF's of these numbers

The first method to find LCM for numbers 45 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 144 is 9, so

LCM = (45 × 144) ÷ 9

LCM = 6480 ÷ 9

LCM = 720

Finding LCM for 45 and 144 by Listing Multiples

The second method to find LCM for numbers 45 and 144 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810

Multiples of 144: 144, 288, 432, 576, 720, 864, 1008

So the LCM for 45 and 144 is 720

Finding LCM for 45 and 144 by Prime Factorization

Another method to find LCM for numbers 45 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

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

32 × 51 × 24 = 720

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LCM Table

Number 1Number 2LCM
30144720
311444464
32144288
331441584
341442448
351445040
36144144
371445328
381442736
391441872
40144720
411445904
421441008
431446192
441441584
45144720
461443312
471446768
48144144
491447056
501443600
511442448
521441872
531447632
54144432
551447920
561441008
571442736
581444176
591448496

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 45 and 144? (The answer is: 720). Select the first number (e.g. '45') 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 45 and 144?

LCM of 45 and 144 is 720