LCM for 84 and 420

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What's the Least Common Multiple (LCM) of 84 and 420?

Answer

LCM of 84 and 420 is
420

(Four hundred twenty)

Finding LCM for 84 and 420 using GCF of these numbers

The first method to find LCM for numbers 84 and 420 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 420 is 84, so

LCM = (84 × 420) ÷ 84

LCM = 35,280 ÷ 84

LCM = 420

Finding LCM for 84 and 420 by Listing Multiples

The second method to find LCM for numbers 84 and 420 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

Multiples of 420: 420, 840, 1,260

So the LCM for 84 and 420 is 420

Finding LCM for 84 and 420 by Prime Factorization

Another method to find LCM for numbers 84 and 420 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 420: 2, 2, 3, 5, 7 (exponent form: 22, 31, 51, 71)

22 × 31 × 71 × 51 = 420

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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 84 and 420? (The answer is: 420). Select the first number (e.g. '84') and the second number (e.g. '420'). 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
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LCM Table

Number 1Number 2LCM
8440511,340
844062,436
8440734,188
844082,856
8440934,356
8441017,220
8441111,508
844128,652
844134,956
844145,796
8441534,860
844168,736
8441711,676
8441817,556
8441935,196
84420420
8442135,364
8442217,724
8442311,844
844248,904
8442535,700
844265,964
844275,124
844288,988
8442912,012
8443018,060
8443136,204
844323,024
8443336,372
844342,604

FAQ

What's the Least Common Multiple (LCM) of 84 and 420?

LCM of 84 and 420 is 420

How to find the LCM of 84 and 420 using prime factorization?

To find the LCM of 84 and 420, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

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 420: LCM = 420, GCF = 84.

See Also