LCM for 144 and 192

What's the Least Common Multiple (LCM) of 144 and 192?

Answer: LCM of 144 and 192 is 576

(Five hundred seventy-six)

Finding LCM for 144 and 192 using GCF's of these numbers

The first method to find LCM for numbers 144 and 192 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 144 and 192 is 48, so

LCM = (144 × 192) ÷ 48

LCM = 27648 ÷ 48

LCM = 576

Finding LCM for 144 and 192 by Listing Multiples

The second method to find LCM for numbers 144 and 192 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 144: 144, 288, 432, 576, 720, 864

Multiples of 192: 192, 384, 576, 768, 960

So the LCM for 144 and 192 is 576

Finding LCM for 144 and 192 by Prime Factorization

Another method to find LCM for numbers 144 and 192 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 192: 2, 2, 2, 2, 2, 2, 3 (exponent form: 26, 31)

26 × 32 = 576

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See Also

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 192? (The answer is: 576). Select the first number (e.g. '144') and the second number (e.g. '192'). 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

LCM Table

Number 1Number 2LCM
1291928256
13019212480
13119225152
1321922112
13319225536
13419212864
1351928640
1361923264
13719226304
1381924416
13919226688
1401926720
1411929024
14219213632
14319227456
144192
14519227840
14619214016
1471929408
1481927104
14919228608
1501924800
15119228992
1521923648
1531929792
15419214784
15519229760
1561922496
15719230144
15819215168

FAQ

What's the Least Common Multiple (LCM) of 144 and 192?

LCM of 144 and 192 is 576