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LCM for 10 and 420

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 420?

Answer

LCM of 10 and 420 is 420

(Four hundred twenty)

Finding LCM for 10 and 420 using GCF of these numbers

The first method to find LCM for numbers 10 and 420 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 420 is 10, so

LCM = (10 × 420) ÷ 10

LCM = 4200 ÷ 10

LCM = 420

Finding LCM for 10 and 420 by Listing Multiples

The second method to find LCM for numbers 10 and 420 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440

Multiples of 420: 420, 840, 1260

So the LCM for 10 and 420 is 420

Finding LCM for 10 and 420 by Prime Factorization

Another method to find LCM for numbers 10 and 420 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

All Prime Factors of 420: 2, 2, 3, 5, 7 (exponent form: 22, 31, 51, 71)

22 × 51 × 31 × 71 = 420

See Also

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What is the LCM of 10 and 420?. Find the LCM of 10 and 420 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1420420
2420420
3420420
4420420
5420420
6420420
7420420
8420840
94201260
10420420
114204620
12420420
134205460
14420420
15420420
164201680
174207140
184201260
194207980
20420420
21420420
224204620
234209660
24420840
254202100
264205460
274203780
28420420
2942012180
30420420

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 10 and 420? (The answer is: 420). Select the first number (e.g. '10') 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

and

FAQ

What's the Least Common Multiple (LCM) of 10 and 420?

LCM of 10 and 420 is 420

How to find the LCM of 10 and 420 using prime factorization?

To find the LCM of 10 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 10 and 420: LCM = 420, GCF = 10.

See Also