LCM for 78 and 144

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 11232 ÷ 6

LCM = 1872

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, 1014, 1092, 1170, 1248, 1326, 1404, 1482, 1560, 1638, 1716, 1794, 1872, 1950, 2028

Multiples of 144: 144, 288, 432, 576, 720, 864, 1008, 1152, 1296, 1440, 1584, 1728, 1872, 2016, 2160

So the LCM for 78 and 144 is 1872

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 = 1872

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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: 1872). 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
631441008
64144576
651449360
661441584
671449648
681442448
691443312
701445040
7114410224
72144144
7314410512
741445328
751443600
761442736
7714411088
781441872
7914411376
80144720
811441296
821445904
8314411952
841441008
8514412240
861446192
871444176
881441584
8914412816
90144720
9114413104
921443312

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