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LCM for 84 and 128

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 84 and 128?

Answer

LCM of 84 and 128 is 2,688

(Two thousand, six hundred eighty-eight)

Finding LCM for 84 and 128 using GCF of these numbers

The first method to find LCM for numbers 84 and 128 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 128 is 4, so

LCM = (84 × 128) ÷ 4

LCM = 10752 ÷ 4

LCM = 2688

Finding LCM for 84 and 128 by Listing Multiples

The second method to find LCM for numbers 84 and 128 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1008, 1092, 1176, 1260, 1344, 1428, 1512, 1596, 1680, 1764, 1848, 1932, 2016, 2100, 2184, 2268, 2352, 2436, 2520, 2604, 2688, 2772, 2856

Multiples of 128: 128, 256, 384, 512, 640, 768, 896, 1024, 1152, 1280, 1408, 1536, 1664, 1792, 1920, 2048, 2176, 2304, 2432, 2560, 2688, 2816, 2944

So the LCM for 84 and 128 is 2688

Finding LCM for 84 and 128 by Prime Factorization

Another method to find LCM for numbers 84 and 128 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

All Prime Factors of 128: 2, 2, 2, 2, 2, 2, 2 (exponent form: 27)

27 × 31 × 71 = 2688

Related Calculations

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What is the LCM of 84 and 128?. Find the LCM of 84 and 128 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
691288832
701284480
711289088
721281152
731289344
741284736
751289600
761282432
771289856
781284992
7912810112
80128640
8112810368
821285248
8312810624
841282688
8512810880
861285504
8712811136
881281408
8912811392
901285760
9112811648
921282944
9312811904
941286016
9512812160
96128384
9712812416
981286272

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 84 and 128? (The answer is: 2688). Select the first number (e.g. '84') and the second number (e.g. '128'). 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 84 and 128?

LCM of 84 and 128 is 2,688

How to find the LCM of 84 and 128 using prime factorization?

To find the LCM of 84 and 128, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,688.

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 84 and 128: LCM = 2,688, GCF = 4.

See Also