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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?. The LCM of 84 and 128 is 2688 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
841139492
841141596
841159660
841162436
841173276
841184956
841191428
84120840
8412110164
841225124
841233444
841242604
8412510500
84126252
8412710668
841282688
841293612
841305460
8413111004
84132924
841331596
841345628
841353780
841362856
8413711508
841381932
8413911676
84140420
841413948
841425964

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