LCM for 48 and 168

What's the Least Common Multiple (LCM) of 48 and 168?

Answer: LCM of 48 and 168 is 336

(Three hundred thirty-six)

Finding LCM for 48 and 168 using GCF's of these numbers

The first method to find LCM for numbers 48 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 168 is 24, so

LCM = (48 × 168) ÷ 24

LCM = 8064 ÷ 24

LCM = 336

Finding LCM for 48 and 168 by Listing Multiples

The second method to find LCM for numbers 48 and 168 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432

Multiples of 168: 168, 336, 504, 672

So the LCM for 48 and 168 is 336

Finding LCM for 48 and 168 by Prime Factorization

Another method to find LCM for numbers 48 and 168 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

All Prime Factors of 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

24 × 31 × 71 = 336

See Also

LCM Table

Number 1Number 2LCM
331681848
341682856
35168840
36168504
371686216
381683192
391682184
40168840
411686888
42168168
431687224
441681848
451682520
461683864
471687896
48168
491681176
501684200
511682856
521682184
531688904
541681512
551689240
56168168
571683192
581684872
591689912
60168840
6116810248
621685208

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 48 and 168? (The answer is: 336). Select the first number (e.g. '48') 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

FAQ

What's the Least Common Multiple (LCM) of 48 and 168?

LCM of 48 and 168 is 336