What is the LCM of 48 and 168?

"Least Common Multiple" Calculator

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

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

"Least Common Multiple" Calculator

LCM Table

Number 1	Number 2	LCM
33	168	1848
34	168	2856
35	168	840
36	168	504
37	168	6216
38	168	3192
39	168	2184
40	168	840
41	168	6888
42	168	168
43	168	7224
44	168	1848
45	168	2520
46	168	3864
47	168	7896
48	168	336
49	168	1176
50	168	4200
51	168	2856
52	168	2184
53	168	8904
54	168	1512
55	168	9240
56	168	168
57	168	3192
58	168	4872
59	168	9912
60	168	840
61	168	10248
62	168	5208

LCM for 48 and 168

"Least Common Multiple" Calculator

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

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

Finding LCM for 48 and 168 by Listing Multiples

Finding LCM for 48 and 168 by Prime Factorization

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

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

See Also