LCM for 16 and 112

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 16 and 112?

Answer

LCM of 16 and 112 is
112

(One hundred twelve)

Finding LCM for 16 and 112 using GCF of these numbers

The first method to find LCM for numbers 16 and 112 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 112 is 16, so

LCM = (16 × 112) ÷ 16

LCM = 1,792 ÷ 16

LCM = 112

Finding LCM for 16 and 112 by Listing Multiples

The second method to find LCM for numbers 16 and 112 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, 112, 128, 144

Multiples of 112: 112, 224, 336

So the LCM for 16 and 112 is 112

Finding LCM for 16 and 112 by Prime Factorization

Another method to find LCM for numbers 16 and 112 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 112: 2, 2, 2, 2, 7 (exponent form: 24, 71)

24 × 71 = 112

See Also

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 112? (The answer is: 112). Select the first number (e.g. '16') and the second number (e.g. '112'). 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

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 112?

LCM of 16 and 112 is 112

How to find the LCM of 16 and 112 using prime factorization?

To find the LCM of 16 and 112, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 112.

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 112: LCM = 112, GCF = 16.

See Also