LCM for 78 and 144

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What's the Least Common Multiple (LCM) of 78 and 144?

Answer

LCM of 78 and 144 is
1,872

(One thousand eight hundred seventy-two)

Finding LCM for 78 and 144 using GCF of these numbers

The first method to find LCM for numbers 78 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 78 and 144 is 6, so

LCM = (78 × 144) ÷ 6

LCM = 11,232 ÷ 6

LCM = 1,872

Finding LCM for 78 and 144 by Listing Multiples

The second method to find LCM for numbers 78 and 144 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 78: 78, 156, 234, 312, 390, 468, 546, 624, 702, 780, 858, 936, 1,014, 1,092, 1,170, 1,248, 1,326, 1,404, 1,482, 1,560, 1,638, 1,716, 1,794, 1,872, 1,950, 2,028

Multiples of 144: 144, 288, 432, 576, 720, 864, 1,008, 1,152, 1,296, 1,440, 1,584, 1,728, 1,872, 2,016, 2,160

So the LCM for 78 and 144 is 1,872

Finding LCM for 78 and 144 by Prime Factorization

Another method to find LCM for numbers 78 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 78: 2, 3, 13 (exponent form: 21, 31, 131)

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

24 × 32 × 131 = 1,872

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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 78 and 144? (The answer is: 1,872). Select the first number (e.g. '78') and the second number (e.g. '144'). 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
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LCM Table

Number 1Number 2LCM
781293,354
78130390
7813110,218
781321,716
7813310,374
781345,226
781353,510
781365,304
7813710,686
781381,794
7813910,842
781405,460
781413,666
781425,538
78143858
781441,872
7814511,310
781465,694
781473,822
781485,772
7814911,622
781501,950
7815111,778
781525,928
781533,978
781546,006
7815512,090
78156156
7815712,246
781586,162

FAQ

What's the Least Common Multiple (LCM) of 78 and 144?

LCM of 78 and 144 is 1,872

How to find the LCM of 78 and 144 using prime factorization?

To find the LCM of 78 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,872.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 78 and 144: LCM = 1,872, GCF = 6.

See Also