LCM for 180 and 210

"Least Common Multiple" Calculator

Least Common Multiple of

and

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

Answer: LCM of 180 and 210 is 1,260

(One thousand, two hundred sixty)

Finding LCM for 180 and 210 using GCF's of these numbers

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

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 180 and 210 is 30, so

LCM = (180 × 210) ÷ 30

LCM = 37800 ÷ 30

LCM = 1260

Finding LCM for 180 and 210 by Listing Multiples

The second method to find LCM for numbers 180 and 210 is to list out the common multiples for both nubmers and pick the first which matching:

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

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

So the LCM for 180 and 210 is 1260

Finding LCM for 180 and 210 by Prime Factorization

Another method to find LCM for numbers 180 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

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

22 × 32 × 51 × 71 = 1260

Related Calculations

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LCM Table

Number 1Number 2LCM
1652102310
16621017430
16721035070
168210840
16921035490
1702103570
17121011970
17221018060
17321036330
1742106090
1752101050
17621018480
17721012390
17821018690
17921037590
1802101260
18121038010
1822102730
18321012810
18421019320
1852107770
1862106510
18721039270
18821019740
1892101890
1902103990
19121040110
1922106720
19321040530
19421020370

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 180 and 210? (The answer is: 1260). Select the first number (e.g. '180') and the second number (e.g. '210'). 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 180 and 210?

LCM of 180 and 210 is 1,260

See Also