LCM for 210 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 37800 ÷ 30

LCM = 1260

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 1260

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 = 1260

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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: 1260). 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
"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
2101652310
21016617430
21016735070
210168840
21016935490
2101703570
21017111970
21017218060
21017336330
2101746090
2101751050
21017618480
21017712390
21017818690
21017937590
2101801260
21018138010
2101822730
21018312810
21018419320
2101857770
2101866510
21018739270
21018819740
2101891890
2101903990
21019140110
2101926720
21019340530
21019420370

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.

See Also