LCM for 64 and 144

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What's the Least Common Multiple (LCM) of 64 and 144?

Answer

LCM of 64 and 144 is
576

(Five hundred seventy-six)

Finding LCM for 64 and 144 using GCF of these numbers

The first method to find LCM for numbers 64 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 64 and 144 is 16, so

LCM = (64 × 144) ÷ 16

LCM = 9,216 ÷ 16

LCM = 576

Finding LCM for 64 and 144 by Listing Multiples

The second method to find LCM for numbers 64 and 144 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704

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

So the LCM for 64 and 144 is 576

Finding LCM for 64 and 144 by Prime Factorization

Another method to find LCM for numbers 64 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

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

26 × 32 = 576

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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 64 and 144? (The answer is: 576). Select the first number (e.g. '64') 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
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LCM Table

Number 1Number 2LCM
641298,256
641304,160
641318,384
641322,112
641338,512
641344,288
641358,640
641361,088
641378,768
641384,416
641398,896
641402,240
641419,024
641424,544
641439,152
64144576
641459,280
641464,672
641479,408
641482,368
641499,536
641504,800
641519,664
641521,216
641539,792
641544,928
641559,920
641562,496
6415710,048
641585,056

FAQ

What's the Least Common Multiple (LCM) of 64 and 144?

LCM of 64 and 144 is 576

How to find the LCM of 64 and 144 using prime factorization?

To find the LCM of 64 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 576.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 64 and 144: LCM = 576, GCF = 16.

See Also