LCM for 210 and 180

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What's the Least Common Multiple (LCM) of 210 and 180?

Answer

LCM of 210 and 180 is
1,260

(One thousand two hundred sixty)

Finding LCM for 210 and 180 using GCF of these numbers

The first method to find LCM for numbers 210 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 210 and 180 is 30, so

LCM = (210 × 180) ÷ 30

LCM = 37,800 ÷ 30

LCM = 1,260

Finding LCM for 210 and 180 by Listing Multiples

The second method to find LCM for numbers 210 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 210: 210, 420, 630, 840, 1050, 1260, 1470, 1680

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620

So the LCM for 210 and 180 is 1,260

Finding LCM for 210 and 180 by Prime Factorization

Another method to find LCM for numbers 210 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

22 × 32 × 51 × 71 = 1,260

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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 180? (The answer is: 1,260). Select the first number (e.g. '210') and the second number (e.g. '180'). 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
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LCM Table

Number 1Number 2LCM
2101652,310
21016617,430
21016735,070
210168840
21016935,490
2101703,570
21017111,970
21017218,060
21017336,330
2101746,090
2101751,050
21017618,480
21017712,390
21017818,690
21017937,590
2101801,260
21018138,010
2101822,730
21018312,810
21018419,320
2101857,770
2101866,510
21018739,270
21018819,740
2101891,890
2101903,990
21019140,110
2101926,720
21019340,530
21019420,370

FAQ

What's the Least Common Multiple (LCM) of 210 and 180?

LCM of 210 and 180 is 1,260

How to find the LCM of 210 and 180 using prime factorization?

To find the LCM of 210 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

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 180: LCM = 1,260, GCF = 30.

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