What is the LCM of 78 and 144?

"Least Common Multiple" Calculator

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's 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 nubmers and pick the first which matching:

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

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

LCM Table

Number 1	Number 2	LCM
63	144	1008
64	144	576
65	144	9360
66	144	1584
67	144	9648
68	144	2448
69	144	3312
70	144	5040
71	144	10224
72	144	144
73	144	10512
74	144	5328
75	144	3600
76	144	2736
77	144	11088
78	144	1872
79	144	11376
80	144	720
81	144	1296
82	144	5904
83	144	11952
84	144	1008
85	144	12240
86	144	6192
87	144	4176
88	144	1584
89	144	12816
90	144	720
91	144	13104
92	144	3312

LCM for 78 and 144

"Least Common Multiple" Calculator

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

Finding LCM for 78 and 144 using GCF's of these numbers

Finding LCM for 78 and 144 by Listing Multiples

Finding LCM for 78 and 144 by Prime Factorization

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

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

See Also