LCM for 120 and 210

"Least Common Multiple" Calculator

Least Common Multiple of

and

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's 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 = 25200 ÷ 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 nubmers and pick the first which matching:

Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080

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

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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LCM Table

Number 1Number 2LCM
105210210
10621011130
10721022470
1082103780
10921022890
1102102310
1112107770
1122101680
11321023730
1142103990
1152104830
11621012180
1172108190
11821012390
1192103570
120210840
12121025410
12221012810
1232108610
12421013020
1252105250
126210630
12721026670
12821013440
1292109030
1302102730
13121027510
1322104620
1332103990
13421014070

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

Least Common Multiple of

and

FAQ

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

LCM of 120 and 210 is 840

See Also