LCM for 56 and 84

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What's the Least Common Multiple (LCM) of 56 and 84?

Answer

LCM of 56 and 84 is
168

(One hundred sixty-eight)

Finding LCM for 56 and 84 using GCF of these numbers

The first method to find LCM for numbers 56 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 56 and 84 is 28, so

LCM = (56 × 84) ÷ 28

LCM = 4,704 ÷ 28

LCM = 168

Finding LCM for 56 and 84 by Listing Multiples

The second method to find LCM for numbers 56 and 84 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 56: 56, 112, 168, 224, 280

Multiples of 84: 84, 168, 252, 336

So the LCM for 56 and 84 is 168

Finding LCM for 56 and 84 by Prime Factorization

Another method to find LCM for numbers 56 and 84 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)

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

23 × 71 × 31 = 168

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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 56 and 84? (The answer is: 168). Select the first number (e.g. '56') and the second number (e.g. '84'). 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
56693,864
5670280
56713,976
5672504
56734,088
56742,072
56754,200
56761,064
5677616
56782,184
56794,424
5680560
56814,536
56822,296
56834,648
5684168
56854,760
56862,408
56874,872
5688616
56894,984
56902,520
5691728
56921,288
56935,208
56942,632
56955,320
5696672
56975,432
5698392

FAQ

What's the Least Common Multiple (LCM) of 56 and 84?

LCM of 56 and 84 is 168

How to find the LCM of 56 and 84 using prime factorization?

To find the LCM of 56 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 168.

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 56 and 84: LCM = 168, GCF = 28.

See Also