What is the LCM of 144 and 48?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 144 and 48?

Answer: LCM of 144 and 48 is 144

(One hundred forty-four)

Finding LCM for 144 and 48 using GCF's of these numbers

The first method to find LCM for numbers 144 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 144 and 48 is 48, so

LCM = (144 × 48) ÷ 48

LCM = 6912 ÷ 48

LCM = 144

Finding LCM for 144 and 48 by Listing Multiples

The second method to find LCM for numbers 144 and 48 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 144: 144, 288, 432, 576, 720, [...], 144

Multiples of 48: 48, 96, 144, 192, 240

So the LCM for 144 and 48 is 144

Finding LCM for 144 and 48 by Prime Factorization

Another method to find LCM for numbers 144 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 2⁴, 3²)

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

2⁴ × 3² = 144

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 144 and 48? (The answer is: 144). Select the first number (e.g. '144') and the second number (e.g. '48'). 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
129	48	2064
130	48	3120
131	48	6288
132	48	528
133	48	6384
134	48	3216
135	48	2160
136	48	816
137	48	6576
138	48	1104
139	48	6672
140	48	1680
141	48	2256
142	48	3408
143	48	6864
144	48	144
145	48	6960
146	48	3504
147	48	2352
148	48	1776
149	48	7152
150	48	1200
151	48	7248
152	48	912
153	48	2448
154	48	3696
155	48	7440
156	48	624
157	48	7536
158	48	3792

LCM for 144 and 48

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 144 and 48?

Finding LCM for 144 and 48 using GCF's of these numbers

Finding LCM for 144 and 48 by Listing Multiples

Finding LCM for 144 and 48 by Prime Factorization

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 144 and 48?

See Also