LCM for 120 and 210

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What's the Least Common Multiple (LCM) of 120 and 210?

Answer

LCM of 120 and 210 is
840

(Eight hundred forty)

Finding LCM for 120 and 210 using GCF of these numbers

The first method to find LCM for numbers 120 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 210 is 30, so

LCM = (120 × 210) ÷ 30

LCM = 25,200 ÷ 30

LCM = 840

Finding LCM for 120 and 210 by Listing Multiples

The second method to find LCM for numbers 120 and 210 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1,080

Multiples of 210: 210, 420, 630, 840, 1,050, 1,260

So the LCM for 120 and 210 is 840

Finding LCM for 120 and 210 by Prime Factorization

Another method to find LCM for numbers 120 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

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

23 × 31 × 51 × 71 = 840

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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 120 and 210? (The answer is: 840). Select the first number (e.g. '120') 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
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LCM Table

Number 1Number 2LCM
1201951,560
1201965,880
12019723,640
1201983,960
12019923,880
120200600
1202018,040
12020212,120
12020324,360
1202042,040
1202054,920
12020612,360
1202078,280
1202083,120
12020925,080
120210840
12021125,320
1202126,360
1202138,520
12021412,840
1202155,160
1202161,080
12021726,040
12021813,080
1202198,760
1202201,320
12022126,520
1202224,440
12022326,760
1202243,360

FAQ

What's the Least Common Multiple (LCM) of 120 and 210?

LCM of 120 and 210 is 840

How to find the LCM of 120 and 210 using prime factorization?

To find the LCM of 120 and 210, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

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 120 and 210: LCM = 840, GCF = 30.

See Also