LCM for 210 and 300

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What's the Least Common Multiple (LCM) of 210 and 300?

Answer

LCM of 210 and 300 is
2,100

(Two thousand one hundred)

Finding LCM for 210 and 300 using GCF of these numbers

The first method to find LCM for numbers 210 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 210 and 300 is 30, so

LCM = (210 × 300) ÷ 30

LCM = 63,000 ÷ 30

LCM = 2,100

Finding LCM for 210 and 300 by Listing Multiples

The second method to find LCM for numbers 210 and 300 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 210: 210, 420, 630, 840, 1,050, 1,260, 1,470, 1,680, 1,890, 2,100, 2,310, 2,520

Multiples of 300: 300, 600, 900, 1,200, 1,500, 1,800, 2,100, 2,400, 2,700

So the LCM for 210 and 300 is 2,100

Finding LCM for 210 and 300 by Prime Factorization

Another method to find LCM for numbers 210 and 300 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

22 × 31 × 52 × 71 = 2,100

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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 210 and 300? (The answer is: 2,100). Select the first number (e.g. '210') and the second number (e.g. '300'). 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
2102853,990
21028630,030
2102878,610
21028810,080
21028960,690
2102906,090
21029120,370
21029230,660
21029361,530
2102941,470
21029512,390
21029631,080
21029720,790
21029831,290
21029962,790
2103002,100
2103019,030
21030231,710
21030321,210
21030431,920
21030512,810
21030610,710
21030764,470
2103084,620
21030921,630
2103106,510
21031165,310
21031210,920
21031365,730
21031432,970

FAQ

What's the Least Common Multiple (LCM) of 210 and 300?

LCM of 210 and 300 is 2,100

How to find the LCM of 210 and 300 using prime factorization?

To find the LCM of 210 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,100.

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 210 and 300: LCM = 2,100, GCF = 30.

See Also