LCM for 66 and 84

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What's the Least Common Multiple (LCM) of 66 and 84?

Answer

LCM of 66 and 84 is
924

(Nine hundred twenty-four)

Finding LCM for 66 and 84 using GCF of these numbers

The first method to find LCM for numbers 66 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 66 and 84 is 6, so

LCM = (66 × 84) ÷ 6

LCM = 5,544 ÷ 6

LCM = 924

Finding LCM for 66 and 84 by Listing Multiples

The second method to find LCM for numbers 66 and 84 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792, 858, 924, 990, 1,056

Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1,008, 1,092

So the LCM for 66 and 84 is 924

Finding LCM for 66 and 84 by Prime Factorization

Another method to find LCM for numbers 66 and 84 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 66: 2, 3, 11 (exponent form: 21, 31, 111)

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

22 × 31 × 111 × 71 = 924

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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 66 and 84? (The answer is: 924). Select the first number (e.g. '66') 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
66691,518
66702,310
66714,686
6672792
66734,818
66742,442
66751,650
66762,508
6677462
6678858
66795,214
66802,640
66811,782
66822,706
66835,478
6684924
66855,610
66862,838
66871,914
6688264
66895,874
6690990
66916,006
66923,036
66932,046
66943,102
66956,270
66961,056
66976,402
66983,234

FAQ

What's the Least Common Multiple (LCM) of 66 and 84?

LCM of 66 and 84 is 924

How to find the LCM of 66 and 84 using prime factorization?

To find the LCM of 66 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 924.

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 66 and 84: LCM = 924, GCF = 6.

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