LCM for 120 and 168

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 120 and 168?

Answer: LCM of 120 and 168 is 840

(Eight hundred forty)

Finding LCM for 120 and 168 using GCF's of these numbers

The first method to find LCM for numbers 120 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 168 is 24, so

LCM = (120 × 168) ÷ 24

LCM = 20160 ÷ 24

LCM = 840

Finding LCM for 120 and 168 by Listing Multiples

The second method to find LCM for numbers 120 and 168 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 168: 168, 336, 504, 672, 840, 1008, 1176

So the LCM for 120 and 168 is 840

Finding LCM for 120 and 168 by Prime Factorization

Another method to find LCM for numbers 120 and 168 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 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

23 × 31 × 51 × 71 = 840

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LCM Table

Number 1Number 2LCM
105168840
1061688904
10716817976
1081681512
10916818312
1101689240
1111686216
112168336
11316818984
1141683192
11516819320
1161684872
1171686552
1181689912
1191682856
120168840
12116820328
12216810248
1231686888
1241685208
12516821000
126168504
12716821336
1281682688
1291687224
13016810920
13116822008
1321681848
1331683192
13416811256

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 168? (The answer is: 840). Select the first number (e.g. '120') and the second number (e.g. '168'). 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 168?

LCM of 120 and 168 is 840

See Also