What is the LCM of 48 and 120?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 48 and 120?

Answer: LCM of 48 and 120 is 240

(Two hundred forty)

Finding LCM for 48 and 120 using GCF's of these numbers

The first method to find LCM for numbers 48 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 120 is 24, so

LCM = (48 × 120) ÷ 24

LCM = 5760 ÷ 24

LCM = 240

Finding LCM for 48 and 120 by Listing Multiples

The second method to find LCM for numbers 48 and 120 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

Multiples of 120: 120, 240, 360, 480

So the LCM for 48 and 120 is 240

Finding LCM for 48 and 120 by Prime Factorization

Another method to find LCM for numbers 48 and 120 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 120: 2, 2, 2, 3, 5 (exponent form: 2³, 3¹, 5¹)

2⁴ × 3¹ × 5¹ = 240

Related Calculations

What is the GCF of 48 and 120

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 120? (The answer is: 240). Select the first number (e.g. '48') and the second number (e.g. '120'). 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	120	1320
34	120	2040
35	120	840
36	120	360
37	120	4440
38	120	2280
39	120	1560
40	120	120
41	120	4920
42	120	840
43	120	5160
44	120	1320
45	120	360
46	120	2760
47	120	5640
48	120	240
49	120	5880
50	120	600
51	120	2040
52	120	1560
53	120	6360
54	120	1080
55	120	1320
56	120	840
57	120	2280
58	120	3480
59	120	7080
60	120	120
61	120	7320
62	120	3720

LCM for 48 and 120

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 48 and 120?

Finding LCM for 48 and 120 using GCF's of these numbers

Finding LCM for 48 and 120 by Listing Multiples

Finding LCM for 48 and 120 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 48 and 120?

See Also