LCM for 18 and 64

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What's the Least Common Multiple (LCM) of 18 and 64?

Answer

LCM of 18 and 64 is
576

(Five hundred seventy-six)

Finding LCM for 18 and 64 using GCF of these numbers

The first method to find LCM for numbers 18 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 64 is 2, so

LCM = (18 × 64) ÷ 2

LCM = 1,152 ÷ 2

LCM = 576

Finding LCM for 18 and 64 by Listing Multiples

The second method to find LCM for numbers 18 and 64 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594, 612

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

So the LCM for 18 and 64 is 576

Finding LCM for 18 and 64 by Prime Factorization

Another method to find LCM for numbers 18 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

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

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 18 and 64? (The answer is: 576). Select the first number (e.g. '18') and the second number (e.g. '64'). 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
1838342
1839234
1840360
1841738
1842126
184590
1848144
1849882
1852468
185454
1856504
1857342
18591,062
1860180
1863126
1864576
1866198
1870630
187272
1875450
1878234
1880720
1881162
1884252
1888792
189090
1896288
1899198
18100900
18108108

FAQ

What's the Least Common Multiple (LCM) of 18 and 64?

LCM of 18 and 64 is 576

How to find the LCM of 18 and 64 using prime factorization?

To find the LCM of 18 and 64, 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 18 and 64: LCM = 576, GCF = 2.

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