LCM for 16 and 64

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Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 16 and 64?

Answer

LCM of 16 and 64 is
64

(Sixty-four)

Finding LCM for 16 and 64 using GCF of these numbers

The first method to find LCM for numbers 16 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 64 is 16, so

LCM = (16 × 64) ÷ 16

LCM = 1,024 ÷ 16

LCM = 64

Finding LCM for 16 and 64 by Listing Multiples

The second method to find LCM for numbers 16 and 64 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 16: 16, 32, 48, 64, 80, 96

Multiples of 64: 64, 128, 192

So the LCM for 16 and 64 is 64

Finding LCM for 16 and 64 by Prime Factorization

Another method to find LCM for numbers 16 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)

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

26 = 64

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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 16 and 64? (The answer is: 64). Select the first number (e.g. '16') 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
Least Common Multiple of
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LCM Table

Number 1Number 2LCM
1631496
163232
1634272
1635560
1636144
1638304
1639624
164080
1642336
1643688
1644176
1645720
1646368
164848
1651816
1655880
1656112
1657912
1658464
1659944
166464
1672144
168080
16811,296
1684336
169696
16100400
16112112
16120240
16128128

FAQ

What's the Least Common Multiple (LCM) of 16 and 64?

LCM of 16 and 64 is 64

How to find the LCM of 16 and 64 using prime factorization?

To find the LCM of 16 and 64, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 64.

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 16 and 64: LCM = 64, GCF = 16.

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